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Contreras, Ivan; Long, Adele; Marx, Sophia; Mehta, Rajan Amit

On examples and classification of Frobenius objects in Rel. (English) Zbl 07915444

Kaufmann, Ralph M. (ed.) et al., Higher structures in topology, geometry, and physics. AMS special session, virtual, March 26–27, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 802, 75-92 (2024).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18B10 18B40 18C40 18N50 20L05 57R56

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Torzewska, Fiona

Topological quantum field theories and homotopy cobordisms. (English) Zbl 07909472

Appl. Categ. Struct. 32, No. 4, Paper No. 22, 63 p. (2024).

MSC: 18-XX

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Cockett, Robin; Cruttwell, G. S. H.; Gallagher, Jonathan; Pronk, Dorette

Factorization systems for restriction categories. (English) Zbl 07902415

Theory Appl. Categ. 42, Spec. Vol. Hofstra Festschrift, 145-171 (2024).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18B10 18A32

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Khrypchenko, Mykola; Klock, Francisco

Partial monoid actions on objects in categories with pullbacks and their globalizations. (English) Zbl 07873758

J. Pure Appl. Algebra 228, No. 11, Article ID 107734, 30 p. (2024).

MSC: 16W22 18B10 20M30 18A40

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Farsi, Carla; Scull, Laura; Watts, Jordan

Bicategories of action groupoids. (English) Zbl 1541.18029

Appl. Categ. Struct. 32, No. 3, Paper No. 13, 26 p. (2024).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18N10 18B10 18B40 57S15

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Nikolić, Jovana; Petrić, Zoran; Zekić, Mladen

A diagrammatic presentation of the category 3Cob. (English) Zbl 07870790

Result. Math. 79, No. 4, Paper No. 165, 29 p. (2024).

Reviewer: Branislav Prvulović (Beograd)

MSC: 18B10 57N70 18M30 18M05

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Hosseini, S. N.; Yeganeh, L.

Lax pullback complements in partial morphism categories. (English) Zbl 1541.18003

Quaest. Math. 47, No. 4, 777-795 (2024).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18A30 18B10 18B25 18B50

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Štěpán, Miloslav

Factorization systems and double categories. (English) Zbl 1540.18004

Theory Appl. Categ. 41, 551-592 (2024).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18A32 18B10 18M05 18N10 18N15

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Niefield, Susan

Cartesian closed double categories. (English) Zbl 1539.18027

Theory Appl. Categ. 40, Spec. Vol. Bunge Festschrift, 63-79 (2024).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18N10 18D15 18B10 18F75 54C35

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Chiaselotti, Giampiero; Gentile, Tommaso; Infusino, Federico G.

On some categories of structured sets. (English) Zbl 1540.18002

Eur. J. Math. 10, No. 2, Paper No. 23, 41 p. (2024).

Reviewer: Jose Avila (Cali)

MSC: 18A05 18A22 18A30 18B05 18B10 06A15 06A75 08A02 08A05

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Beardsley, Jonathan; Hackney, Philip

Labelled cospan categories and properads. (English) Zbl 1527.18020

J. Pure Appl. Algebra 228, No. 2, Article ID 107471, 62 p. (2024).

Reviewer: Donald Yau (Newark)

MSC: 18M85 18B10 18F20 18M60 55P48 55U10

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Chaudhuri, Adittya; Köhl, Ralf; Wolkenhauer, Olaf

A mathematical framework to study organising principles in graphical representations of biochemical processes. arXiv:2410.18024

Preprint, arXiv:2410.18024 [q-bio.MN] (2024).

MSC: 18B10 92-10

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Heyer, Claudius; Mann, Lucas

6-Functor Formalisms and Smooth Representations. arXiv:2410.13038

Preprint, arXiv:2410.13038 [math.CT] (2024).

MSC: 18B10 18G90 18M05 18N60 18N70 11F85 14D24 22E57 11F70

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Barnes, David; Hill, Michael A.; Kedziorek, Magdalena

Splitting rational incomplete Mackey functors. arXiv:2410.10962

Preprint, arXiv:2410.10962 [math.AT] (2024).

MSC: 55P91 55N91 19A22 18B10

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Shen, Lili; Tang, Xiaoye

Quantale-valued maps and partial maps. arXiv:2408.00393

Preprint, arXiv:2408.00393 [math.CT] (2024).

MSC: 18F75 18B10 18C20

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Brundan, Jonathan

The \(q\)-Schur category and polynomial tilting modules for quantum \(GL_n\). arXiv:2407.07228

Preprint, arXiv:2407.07228 [math.QA] (2024).

MSC: 18B10

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Akin, Ethan; Mrozek, Marian; Przybylski, Mateusz; Wiseman, Jim

A Complete Invariant for Shift Equivalence for Boolean Matrices and Finite Relations. arXiv:2405.16243

Preprint, arXiv:2405.16243 [math.DS] (2024).

MSC: 37B30 05C20 15A21 15B36 18B10

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Xu, Hao

Module Categories As Spans. arXiv:2404.06408

Preprint, arXiv:2404.06408 [math.CT] (2024).

MSC: 18B10 18M05 18N10 18N25 16D10 16D90

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Beardsley, Jonathan; Nakamura, So

Projective Geometries and Simple Pointed Matroids as \(\mathbb{F}_1\)-modules. arXiv:2404.04730

Preprint, arXiv:2404.04730 [math.CT] (2024).

MSC: 51D20 51D10 20N20 14A23 18A25 18B10 18C40

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Buchholz, Detlev; van Nuland, Teun D. H.

The basic resolvents of position and momentum operators form a total set in the resolvent algebra. (English) Zbl 1536.81087

Lett. Math. Phys. 113, No. 6, Paper No. 119, 7 p. (2023).

MSC: 81R15 47N50 81S05 60J35 18B10 14B12 47A58 70F20 81T10

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Femić, Bojana; Ghiorzi, Enrico

Internalization and enrichment via spans and matrices in a tricategory. (English) Zbl 1524.18051

J. Algebr. Comb. 58, No. 2, 465-518 (2023).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18N20 18B10

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Fritz, Tobias; Gadducci, Fabio; Trotta, Davide; Corradini, Andrea

From gs-monoidal to oplax cartesian categories: constructions and functorial completeness. (English) Zbl 1540.18018

Appl. Categ. Struct. 31, No. 5, Paper No. 42, 31 p. (2023).

MSC: 18M05 18B10 18N10

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Infusino, Federico

Categorification of a set relation geometry induced by rough operators. (English) Zbl 1523.18002

J. Algebra Appl. 22, No. 10, Article ID 2350203, 44 p. (2023).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18A05 18A22 18A30 18B05 18B10 18E08 05B35 05A18 06A15 08A05

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Martins-Ferreira, Nelson

On the structure of an internal groupoid. (English) Zbl 1521.18003

Appl. Categ. Struct. 31, No. 5, Paper No. 39, 4 p. (2023).

MSC: 18B40 18B10 18C40

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Abbadini, Marco; Bezhanishvili, Guram; Carai, Luca

A generalization of de Vries duality to closed relations between compact Hausdorff spaces. (English) Zbl 1528.54005

Topology Appl. 337, Article ID 108641, 22 p. (2023).

Reviewer: Xiaoquan Xu (Zhangzhou)

MSC: 54B30 54D30 54G05 18F70 06E15 18B10 18E08

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Mašulović, Dragan

Correction to: “Ramsey properties of products and pullbacks of categories and the Grothendieck construction”. (English) Zbl 1515.18002

Appl. Categ. Struct. 31, No. 3, Paper No. 25, 1 p. (2023).

MSC: 18A30 05C55 03C50 18B10

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Rump, Wolfgang

The category of \(L\)-algebras. (English) Zbl 1536.18003

Theory Appl. Categ. 39, 598-624 (2023).

MSC: 18C05 08C05 18D30 06F05 08A55 18B10 18C10

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Mašulović, Dragan

Ramsey properties of products and pullbacks of categories and the Grothendieck construction. (English) Zbl 1504.18005

Appl. Categ. Struct. 31, No. 1, Paper No. 6, 19 p. (2023); correction ibid. 31, No. 3, Paper No. 25, 1 p. (2023).

MSC: 18A30 05C55 03C50 18B10

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Bouc, Serge; Thévenaz, Jacques

Correspondence functors and duality. (English) Zbl 07635022

J. Algebra 617, 425-475 (2023).

MSC: 06B05 06B15 06D05 06D50 16B50 18B05 18B10 18B35 18E05

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Hofmann, Dirk; Nora, Pedro

Duality theory for enriched Priestley spaces. (English) Zbl 1498.18005

J. Pure Appl. Algebra 227, No. 3, Article ID 107231, 32 p. (2023).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18A40 18B10 18C15 18C20 18D20

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Contreras, Ivan; Mehta, Rajan Amit; Stern, Walker H.

Frobenius and commutative pseudomonoids in the bicategory of spans. arXiv:2311.15342

Preprint, arXiv:2311.15342 [math.CT] (2023).

MSC: 18B10

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Hoshino, Keisuke; Nasu, Hayato

Double categories of relations relative to factorisation systems. arXiv:2310.19428

Preprint, arXiv:2310.19428 [math.CT] (2023).

MSC: 18B10 18E08 18N10 18A32

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Vaupel, Melvin; Dunn, Benjamin

The bifiltration of a relation and extended Dowker duality. arXiv:2310.11529

Preprint, arXiv:2310.11529 [math.AT] (2023).

MSC: 18F20 18B10 55U10

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Prezado, Rui; Nunes, Fernando Lucatelli

Generalized multicategories: change-of-base, embedding, and descent. arXiv:2309.08084

Preprint, arXiv:2309.08084 [math.CT] (2023).

MSC: 18B10 18B15 18B50 18D65 18N10 18N15

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Neretin, Yury A.

Oligomorphic groups and ultrahomogeneous cubic spaces over finite fields. arXiv:2308.13247

Preprint, arXiv:2308.13247 [math.RT] (2023).

MSC: 22A25 22F50 18B10

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Lynch, Owen; Shapiro, Brandon T.; Spivak, David I.

All Concepts are \(\mathbb{C}\mathbf{at}^\#\). arXiv:2305.02571

Preprint, arXiv:2305.02571 [math.CT] (2023).

MSC: 18A05 18A35 18B10 18B15 18B20 18D15 18M05 18M35 68Q70

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Brun, Morten; Fosse, Marius Gårdsmann; Salbu, Lars M.

Dowker Duality for Relations of Categories. arXiv:2303.16032

Preprint, arXiv:2303.16032 [math.AT] (2023).

MSC: 55U10 18B10 18N50

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van de Wetering, John

A categorical construction of the real unit interval. (English) Zbl 1530.18007

Kishida, Kohei (ed.), Proceedings of the fourth international conference on applied category theory 2021, ACT 2021, Cambridge, UK, July 12–16, 2021. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 372, 43-58 (2022).

MSC: 18B10 26A03 26E40 81P10

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Chu, Hongyi; Hackney, Philip

On rectification and enrichment of infinity properads. (English) Zbl 1525.18007

J. Lond. Math. Soc., II. Ser. 105, No. 3, 1418-1517 (2022).

MSC: 18D20 18M85 18N40 18N70 55U35 18A32 18B10 18N60

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Westerbaan, Bas; van de Wetering, John

A computer scientist’s reconstruction of quantum theory. (English) Zbl 1519.81017

J. Phys. A, Math. Theor. 55, No. 38, Article ID 384002, 52 p. (2022).

MSC: 81P10 18B10 46L60 81P16 81R15 81T08

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Contreras, Ivan; Keller, Molly; Mehta, Rajan Amit

Frobenius objects in the category of spans. (English) Zbl 1503.18003

Rev. Math. Phys. 34, No. 10, Article ID 2250036, 34 p. (2022).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18B10 18B40 18C40 18N50 20L05 57R56

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Patterson, Evan; Lynch, Owen; Fairbanks, James

Categorical data structures for technical computing. (English) Zbl 1535.68062

Compositionality 4, No. 5, 27 p. (2022).

MSC: 68P05 18A30 18B10 68Q65

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Hosseini, S. N.; Nasab, A. R. Shir Ali; Tholen, W.; Yeganeh, L.

Quotients of span categories that are allegories and the representation of regular categories. (English) Zbl 1502.18006

Appl. Categ. Struct. 30, No. 6, 1177-1201 (2022).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18B10 18A32 18E08

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Brown, Kristopher; Patterson, Evan; Hanks, Tyler; Fairbanks, James

Computational category-theoretic rewriting. (English) Zbl 1514.68089

Behr, Nicolas (ed.) et al., Graph transformation. 15th international conference, ICGT 2022, held as part of STAF 2022, Nantes, France, July 7–8, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13349, 155-172 (2022).

MSC: 68Q42 18A30 18B10

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Baez, John C.; Courser, Kenny; Vasilakopoulou, Christina

Structured versus decorated cospans. (English) Zbl 1499.18006

Compositionality 4, No. 3, 39 p. (2022).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18B10 18M05

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Mederos, B.; Pérez-Cabrera, I.; Takane, M.; Tapia Sánchez, G.; Zavala, B.

A method to construct all the paving matroids over a finite set. (English) Zbl 1491.18005

Bol. Soc. Mat. Mex., III. Ser. 28, No. 2, Paper No. 50, 9 p. (2022).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18B10 05B35 05B15

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Borlido, Célia; McLean, Brett

Difference-restriction algebras of partial functions with operators: discrete duality and completion. (English) Zbl 1521.08002

J. Algebra 604, 760-789 (2022).

Reviewer: Bijan Davvaz (Yazd)

MSC: 08A05 08A55 18B10

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Suda, Tomoharu

Equivalence of topological dynamics without well-posedness. (English) Zbl 1501.37021

Topology Appl. 312, Article ID 108045, 25 p. (2022).

MSC: 37C15 37C20 37B02 18B10 22F05

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Dugger, Daniel

Gysin functors, correspondences, and the Grothendieck-Witt category. (English) Zbl 1485.18002

Theory Appl. Categ. 38, 156-213 (2022).

Reviewer: Marek Golasiński (Olsztyn)

MSC: 18B10 12F10 19L47

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Bumpus, Benjamin Merlin; Kocsis, Zoltan A.; Master, Jade Edenstar

Structured Decompositions: Structural and Algorithmic Compositionality. arXiv:2207.06091

Preprint, arXiv:2207.06091 [math.CT] (2022).

MSC: 18B10 05C75 68W40

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Przybylski, Mateusz; Mrozek, Marian; Wiseman, Jim

The Szymczak Functor on the Category of Finite Sets and Finite Relations. arXiv:2203.08525

Preprint, arXiv:2203.08525 [math.DS] (2022).

MSC: 37B30 18B10 06A06 05C20

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Neretin, Yury A.

Groups of isometries of ultrametric Urysohn spaces and their unitary representations. arXiv:2212.02607

Preprint, arXiv:2212.02607 [math.RT] (2022).

MSC: 20E08 22A25 54D35 18B10 20M20 20M20

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Pisani, Claudio

Operads as double functors. arXiv:2208.07028

Preprint, arXiv:2208.07028 [math.CT] (2022).

MSC: 18B10 18C10 18D30 18D60 18M60 18M65 18N10

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Lenz, Tobias

Global algebraic K-theory is Swan K-theory. arXiv:2202.07272

Preprint, arXiv:2202.07272 [math.AT] (2022).

MSC: 55P91 19D23 18B10 18N60

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Rajan, A. R.

Discrete normal categories and cross connections. (English) Zbl 1499.18007

Southeast Asian Bull. Math. 45, No. 6, 905-918 (2021).

MSC: 18B10 18C40 20M17

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Pavlovic, Dusko

Lambek pregroups are Frobenius spiders in preorders. (English) Zbl 1489.91212

Compositionality 4, No. 1, 22 p. (2021).

MSC: 91F20 18B10

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Larizza, Leonardo

On factorisation systems for Ord-enriched categories and categories of partial maps. (English) Zbl 1478.18002

Theory Appl. Categ. 37, 1194-1221 (2021).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18A20 18A32 18B10 18B35 18D20

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Delle Rose, V.; Mauro, L. San; Sorbi, A.

The category of equivalence relations. (English. Russian original) Zbl 1515.18004

Algebra Logic 60, No. 5, 295-307 (2021); translation from Algebra Logika 60, No. 4, 451-470 (2021).

MSC: 18B10 03D25 03D45

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Contreras, Ivan; Moshayedi, Nima; Wernli, Konstantin

Convolution algebras for relational groupoids and reduction. (English) Zbl 1478.18003

Pac. J. Math. 313, No. 1, 75-102 (2021).

Reviewer: Camilo Andres Angulo Santacruz (Rio de Janeiro)

MSC: 18B10 18B40 20L05 57R56

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Street, Ross

Variation on a comprehensive theme. (English) Zbl 1470.18026

Theory Appl. Categ. 37, 964-978 (2021).

MSC: 18N10 18B10

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Bouc, Serge; Thévenaz, Jacques

Simple and projective correspondence functors. (English) Zbl 1506.18004

Represent. Theory 25, 224-264 (2021).

Reviewer: Joaquín Luna-Torres (Cartagena)

MSC: 18B05 06B05 06B15 06D05 06D50 16B50 18B10 18B35 18E05

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Baez, John C.; Weisbart, David; Yassine, Adam M.

Open systems in classical mechanics. (English) Zbl 1474.18008

J. Math. Phys. 62, No. 4, Article ID 042902, 24 p. (2021).

MSC: 18B10 70S05

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Di Lavore, Elena; Leal, Wilmer; de Paiva, Valeria

Dialectica Petri Nets. arXiv:2105.12801

Preprint, arXiv:2105.12801 [math.CT] (2021).

MSC: 03B70 18M45 19D23 18D15 18B10 05C20 05C76

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Master, Jade

Composing Behaviors of Networks. arXiv:2105.12905

Preprint, arXiv:2105.12905 [math.CT] (2021).

MSC: 18M35 18D20 18B10 18D40 18C10 18N10

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Dugowson, Stéphane

Interacting open dynamics. (English. French summary) Zbl 1456.18001

Cah. Topol. Géom. Différ. Catég. 61, No. 4, 351-401 (2020).

Reviewer: Sergejs Solovjovs (Praha)

MSC: 18A25 18B10 37B15 54A05 18N10

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Baez, John C.; Courser, Kenny

Structured cospans. (English) Zbl 1451.18008

Theory Appl. Categ. 35, 1771-1822 (2020).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18B10 18M35 18N10

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Bouc, Serge; Thévenaz, Jacques

The algebra of Boolean matrices, correspondence functors, and simplicity. (English) Zbl 1484.06022

J. Comb. Algebra 4, No. 3, 215-267 (2020).

MSC: 06B15 20M20 06E05 16D90 16G30 20M30 18A25 18B05 18B10 18B35

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Bunke, Ulrich; Engel, Alexander; Kasprowski, Daniel; Winges, Christoph

Transfers in coarse homology. (English) Zbl 1451.55003

Münster J. Math. 13, No. 2, 353-424 (2020).

Reviewer: Elisa Hartmann (Göttingen)

MSC: 55N35 51F99 18B10

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Fong, Brendan; Sarazola, Maru

A recipe for black box functors. (English) Zbl 1442.18043

Theory Appl. Categ. 35, 979-1011 (2020).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18M35 18M30 18B10

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Garner, Richard; Lin, Daniel

Cocompletion of restriction categories. (English) Zbl 1441.18005

Theory Appl. Categ. 35, 809-844 (2020).

Reviewer: Panagis Karazeris (Patras)

MSC: 18B10 18A35

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Mehta, Rajan Amit; Zhang, Ruoqi

Frobenius objects in the category of relations. (English) Zbl 1441.18006

Lett. Math. Phys. 110, No. 7, 1941-1959 (2020).

MSC: 18B10 18B40 18C40 18N50 20L05 57R56

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Bouc, Serge; Thévenaz, Jacques

Tensor product of correspondence functors. (English) Zbl 1481.18001

J. Algebra 558, 146-175 (2020).

MSC: 18B05 06B05 06B15 16B50 18B10 18B35 18E05

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Gran, Marino; Heunen, Chris; Tull, Sean

Monoidal characterisation of groupoids and connectors. (English) Zbl 1461.18008

Topology Appl. 273, Article ID 106966, 25 p. (2020).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18E99 18B10 18B40

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Di Liberti, Ivan; Loregian, Fosco; Nester, Chad; Sobociński, Paweł

Functorial Semantics for Partial Theories. arXiv:2011.06644

Preprint, arXiv:2011.06644 [cs.LO] (2020).

MSC: 18C35 18C10 18B10 03C05

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Courser, Kenny

Open Systems: A Double Categorical Perspective. arXiv:2008.02394

Preprint, arXiv:2008.02394 [math.CT] (2020).

MSC: 18B10 18C10 18C40 18M05 18M35 18N10

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Baghani, Hamid; Agarwal, Ravi P.; Karapınar, Erdal

On coincidence point and fixed point theorems for a general class of multivalued mappings in incomplete metric spaces with an application. (English) Zbl 1499.54159

Filomat 33, No. 14, 4493-4508 (2019).

MSC: 54H25 18B10

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Baghani, Hamid; Ramezani, Maryam

Coincidence and fixed points for multivalued mappings in incomplete metric spaces with applications. (English) Zbl 1499.54160

Filomat 33, No. 1, 13-26 (2019).

MSC: 54H25 18B10

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Janelidze-Gray, Tamar

A note on admissibility of closed Galois structures. (English) Zbl 1504.18001

Quaest. Math. 42, No. 5, 623-629 (2019).

MSC: 18A20 06C05 18A22 18A40 18B10

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Hoefnagel, Michael Anton

Majority categories. (English) Zbl 1411.18002

Theory Appl. Categ. 34, 249-268 (2019).

MSC: 18A05 18C99 08B05 06B20 18B35 18B10 18B30

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Bouc, Serge; Thévenaz, Jacques

Correspondence functors and lattices. (English) Zbl 1467.06006

J. Algebra 518, 453-518 (2019).

MSC: 06B05 06B15 06D05 06D50 16B50 18B05 18B10 18E05

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Fong, Brendan; Spivak, David I

Regular and relational categories: Revisiting ’Cartesian bicategories I’. arXiv:1909.00069

Preprint, arXiv:1909.00069 [math.CT] (2019).

MSC: 18-01 18B10 18D10

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Popoff, Alexandre; Andreatta, Moreno; Ehresmann, Andrée

Relational poly-Klumpenhouwer networks for transformational and voice-leading analysis. (English) Zbl 1406.00003

J. Math. Music 12, No. 1, 35-55 (2018).

MSC: 00A65 18B10

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Winter, Michael

T-norm based operations in arrow categories. (English) Zbl 1486.18007

Desharnais, Jules (ed.) et al., Relational and algebraic methods in computer science. 17th international conference, RAMiCS 2018, Groningen, The Netherlands, October 29 – November 1, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11194, 70-86 (2018).

MSC: 18B10 03E72

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Duvieusart, Arnaud; Gran, Marino

Higher commutator conditions for extensions in Mal’tsev categories. (English) Zbl 1427.18002

J. Algebra 515, 298-327 (2018).

MSC: 18B10 08B05

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Fong, Brendan; Zanasi, Fabio

Universal constructions for (co)relations: categories, monoidal categories, and props. (English) Zbl 1464.18004

Log. Methods Comput. Sci. 14, No. 3, Paper No. 14, 25 p. (2018).

Reviewer: Robert Rosebrugh (Sackville)

MSC: 18B10 03B70

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Hofmann, Dirk; Nora, Pedro

Enriched Stone-type dualities. (English) Zbl 1446.03107

Adv. Math. 330, 307-360 (2018).

MSC: 03G10 18A40 18B10 18C15 18C20 18D20 54H10

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Cicala, Daniel

Spans of cospans. (English) Zbl 1412.18008

Theory Appl. Categ. 33, 131-147 (2018).

Reviewer: Philippe Gaucher (Paris)

MSC: 18D05 68Q42 90B10

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Heunen, Chris; Patta, Vaia

The category of matroids. (English) Zbl 1403.18002

Appl. Categ. Struct. 26, No. 2, 205-237 (2018).

Reviewer: Ulrich Knauer (Oldenburg)

MSC: 18B10 05B35

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Cimasoni, David; Conway, Anthony

A Burau-Alexander 2-functor on tangles. (English) Zbl 1404.57005

Fundam. Math. 240, No. 1, 51-79 (2018).

Reviewer: James Hebda (St. Louis)

MSC: 57M25 18D05

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Bouc, Serge; Thévenaz, Jacques

Correspondence functors and finiteness conditions. (English) Zbl 1427.18001

J. Algebra 495, 150-198 (2018).

MSC: 18B05 06B05 06B15 06D05 06D50 16B50 18B10 18B35 18E05

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Fong, Brendan; Spivak, David I

Graphical Regular Logic. arXiv:1812.05765

Preprint, arXiv:1812.05765 [math.CT] (2018).

MSC: 18B10 03G30

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Furusawa, Hitoshi; Kawahara, Yasuo; Tsumagari, Norihiro

Axiom of choice and Zorn’s lemma in Cantor categories. (English) Zbl 1444.03144

Bull. Inf. Cybern. 49, 11-34 (2017).

MSC: 03E25 18B10

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Dunne, Kevin

A new perspective on observables in the category of relations: a spectral presheaf for relations. (English) Zbl 1403.81003

de Barros, Jose Acacio (ed.) et al., Quantum interaction. 10th international conference, QI 2016, San Francisco, CA, USA, July 20–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-52288-3/pbk; 978-3-319-52289-0/ebook). Lecture Notes in Computer Science 10106, 252-264 (2017).

MSC: 81P05 18B10 18B25 18F20

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Tull, Sean

Condition for an \(n\)-permutable category to be Maltsev. (English. French summary) Zbl 1386.18003

Cah. Topol. Géom. Différ. Catég. 58, No. 3-4, 189-194 (2017).

MSC: 18B10 08B05

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Weinstein, Alan

Categories of (co)isotropic linear relations. (English) Zbl 1388.18002

J. Symplectic Geom. 15, No. 2, 603-620 (2017).

Reviewer: Ioan Pop (Iaşi)

MSC: 18B10 53D17 81S10 15A99

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Gran, Marino; Rodelo, Diana; Tchoffo Nguefeu, Idriss

Some remarks on connectors and groupoids in Goursat categories. (English) Zbl 1453.18004

Log. Methods Comput. Sci. 13, No. 3, Paper No. 14, 12 p. (2017).

MSC: 18B40 08B05 18B10

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Winter, Michael

Type-\(n\) arrow categories. (English) Zbl 1486.18006

Höfner, Peter (ed.) et al., Relational and algebraic methods in computer science. 16th international conference, RAMiCS 2017, Lyon, France, May 15–18, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10226, 307-322 (2017).

MSC: 18B10 03E72 18C20

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Berghammer, Rudolf; Stucke, Insa; Winter, Michael

Using relation-algebraic means and tool support for investigating and computing bipartitions. (English) Zbl 1371.68170

J. Log. Algebr. Methods Program. 90, 102-124 (2017).

MSC: 68Q55 03E20 03G15 18B10 68T15 68W30

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Paolini, Luca; Piccolo, Mauro; Ronchi Della Rocca, Simona

Essential and relational models. (English) Zbl 1364.68131

Math. Struct. Comput. Sci. 27, No. 5, 626-650 (2017).

MSC: 68N18 03B40 18B10 68Q55

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Coya, Brandon; Fong, Brendan

Corelations are the prop for extraspecial commutative Frobenius monoids. (English) Zbl 1372.18002

Theory Appl. Categ. 32, 380-395 (2017).

Reviewer: Gabriella Böhm (Budapest)

MSC: 18C10 18D10 18B10

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Found 440 Documents (Results 1–100)

On examples and classification of Frobenius objects in Rel. (English) Zbl 07915444

Topological quantum field theories and homotopy cobordisms. (English) Zbl 07909472

Factorization systems for restriction categories. (English) Zbl 07902415

Partial monoid actions on objects in categories with pullbacks and their globalizations. (English) Zbl 07873758

Bicategories of action groupoids. (English) Zbl 1541.18029

A diagrammatic presentation of the category 3Cob. (English) Zbl 07870790

Lax pullback complements in partial morphism categories. (English) Zbl 1541.18003

Factorization systems and double categories. (English) Zbl 1540.18004

Cartesian closed double categories. (English) Zbl 1539.18027

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Labelled cospan categories and properads. (English) Zbl 1527.18020

The basic resolvents of position and momentum operators form a total set in the resolvent algebra. (English) Zbl 1536.81087

Internalization and enrichment via spans and matrices in a tricategory. (English) Zbl 1524.18051

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Categorification of a set relation geometry induced by rough operators. (English) Zbl 1523.18002

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Correction to: “Ramsey properties of products and pullbacks of categories and the Grothendieck construction”. (English) Zbl 1515.18002

The category of \(L\)-algebras. (English) Zbl 1536.18003

Ramsey properties of products and pullbacks of categories and the Grothendieck construction. (English) Zbl 1504.18005

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Duality theory for enriched Priestley spaces. (English) Zbl 1498.18005

A categorical construction of the real unit interval. (English) Zbl 1530.18007

On rectification and enrichment of infinity properads. (English) Zbl 1525.18007

A computer scientist’s reconstruction of quantum theory. (English) Zbl 1519.81017

Frobenius objects in the category of spans. (English) Zbl 1503.18003

Categorical data structures for technical computing. (English) Zbl 1535.68062

Quotients of span categories that are allegories and the representation of regular categories. (English) Zbl 1502.18006

Computational category-theoretic rewriting. (English) Zbl 1514.68089

Structured versus decorated cospans. (English) Zbl 1499.18006

A method to construct all the paving matroids over a finite set. (English) Zbl 1491.18005

Difference-restriction algebras of partial functions with operators: discrete duality and completion. (English) Zbl 1521.08002

Equivalence of topological dynamics without well-posedness. (English) Zbl 1501.37021

Gysin functors, correspondences, and the Grothendieck-Witt category. (English) Zbl 1485.18002

Discrete normal categories and cross connections. (English) Zbl 1499.18007

Lambek pregroups are Frobenius spiders in preorders. (English) Zbl 1489.91212

On factorisation systems for Ord-enriched categories and categories of partial maps. (English) Zbl 1478.18002

The category of equivalence relations. (English. Russian original) Zbl 1515.18004

Convolution algebras for relational groupoids and reduction. (English) Zbl 1478.18003

Variation on a comprehensive theme. (English) Zbl 1470.18026

Simple and projective correspondence functors. (English) Zbl 1506.18004

Open systems in classical mechanics. (English) Zbl 1474.18008

Interacting open dynamics. (English. French summary) Zbl 1456.18001

Structured cospans. (English) Zbl 1451.18008

The algebra of Boolean matrices, correspondence functors, and simplicity. (English) Zbl 1484.06022

Transfers in coarse homology. (English) Zbl 1451.55003

A recipe for black box functors. (English) Zbl 1442.18043

Cocompletion of restriction categories. (English) Zbl 1441.18005

Frobenius objects in the category of relations. (English) Zbl 1441.18006

Tensor product of correspondence functors. (English) Zbl 1481.18001

Monoidal characterisation of groupoids and connectors. (English) Zbl 1461.18008