A study of the small inductive dimension in the area of finite lattices. (English) Zbl 07923000
MSC:
06-XX
Found 254 Documents (Results 1–100)
Small and large inductive dimension for ideal topological spaces. (English) Zbl 1510.54017
Reviewer: Yutaka Iwamoto (Niihama)
Syntax for semantics: Krull’s maximal ideal theorem. (English) Zbl 1490.13001
Heinzmann, Gerhard (ed.) et al., Paul Lorenzen – mathematician and logician. Contributions presented at the workshop, Konstanz, Germany, March 8–9, 2018. Cham: Springer. Log. Epistemol. Unity Sci. 51, 77-102 (2021).
Reviewer: Radoslav M. Dimitrić (New York)
Efficient computation of the large inductive dimension using order- and graph-theoretic means. (English) Zbl 1504.54025
Reviewer: Athanasios Megaritis (Lamia)
On closed mappings of \(\sigma \)-compact spaces and dimension. (English) Zbl 1427.54036
Reviewer: Dimitris Georgiou (Patras)
Dimension theory. A selection of theorems and counterexamples. (English) Zbl 1471.54001
Atlantis Studies in Mathematics 7. Cham: Springer/Atlantis Press (ISBN 978-3-030-22231-4/hbk; 978-3-030-22234-5/pbk; 978-3-030-22232-1/ebook). x, 261 p. (2019).
Reviewer: Vladimir Tkachuk (Ciudad de México)
The \(\alpha\)-comparison property and finite nuclear dimension of generalized inductive limits for \(C^*\)-algebras. (English) Zbl 1433.46038
Reviewer: Prahlad Vaidyanathan (Bhopal)
On the estimation of the large inductive dimension of a product of compacta. (English) Zbl 1394.54019
Reviewer: Takahisa Miyata (Kobe)
An inductive fuzzy dimension. (English) Zbl 1468.54011
On the dimensional kernel of a topological space. (English) Zbl 1398.54056
Reviewer: Kohzo Yamada (Shizuoka)
MSC:
54F45
Base normal inductive dimension I of cubes. (English. Russian original) Zbl 1478.54025
J. Math. Sci., New York 223, No. 6, 725-733 (2017); translation from Fundam. Prikl. Mat. 20, No. 2, 113-124 (2015).
MSC:
54F45
Mappings and isometries of compact metric spaces. (English) Zbl 1379.54015
Reviewer: Dimitris Georgiou (Patras)
Finite spaces: a reduction algorithm for the computation of the small inductive dimension. (English) Zbl 1362.54029
Reviewer: Takahisa Miyata (Kobe)
The structure of spaces of \(\mathbb{R}\)-places of rational function fields over real closed fields. (English) Zbl 1380.12009
Reviewer: Alexander Kovačec (Coimbra)
Factorization of bijections onto ordered spaces. (English) Zbl 1330.54035
Reviewer: K. P. Hart (Delft)
Topological aspects of matrix abduction. I. (English) Zbl 1371.06002
Koslow, Arnold (ed.) et al., The road to universal logic. Festschrift for the 50th birthday of Jean-Yves Béziau. Volume II. New York, NY: Birkhäuser/Springer (ISBN 978-3-319-15367-4/pbk; 978-3-319-15368-1/ebook). Studies in Universal Logic, 339-355 (2015).
A computing procedure for the small inductive dimension of a finite \(\mathrm{T}_0\)-space. (English) Zbl 1314.54022
Reviewer: M. G. Charalambous (Samos)
On large scale inductive dimension of asymptotic resemblance spaces. (English) Zbl 1318.54017
Reviewer: Leonard R. Rubin (Norman)
Computation of inductive dimensions of product of compacta. (English) Zbl 1300.54048
Reviewer: Dimitris Georgiou (Patras)
Topological groups with a \(bc\)-base. (English) Zbl 1316.22002
Reviewer: T. M. G. Ahsanullah (Riyadh)
Normality, regularity and compactness of \(sb^\ast\)-closed sets in topological spaces. (English) Zbl 1325.54004
MSC:
54A40
Several remarks concerning \((m,n)\)-dimensions. (English) Zbl 1307.54034
Reviewer: Leonard R. Rubin (Norman)
MSC:
54F45
Inductive \((m, n)\)-dimensions. (English) Zbl 1290.54020
Reviewer: Dimitris Georgiou (Patras)
MSC:
54F45
Small inductive dimension and Alexandroff topological spaces. (English) Zbl 1295.54032
Reviewer: K. P. Hart (Delft)
Remarks and questions on base positional dimension-like functions of the type ind. (English) Zbl 1353.54013
Small scattered topological invariants. (Russian. English summary) Zbl 1297.54063
MSC:
54F45
On isometric embeddings of compact metric spaces of a countable dimension. (English) Zbl 1283.54016
Reviewer: Ivan Ivanšić (Zagreb)
On base dimension-like functions of the type ind. (English) Zbl 1300.54047
Reviewer: Vitalij Chatyrko (Linköping)
Dimension in a reasonable class of spaces. (English) Zbl 1276.54023
Reviewer: Vitalij Chatyrko (Linköping)
MSC:
54F45
Results on dimension theory and some generalizations of compact spaces. (English) Zbl 1324.54016
Reviewer: L’ubica Holá (Bratislava)
Some problems on isometrically universal spaces. (English) Zbl 1300.54004
Arhangel’skii, Alexander V. (ed.) et al., Proceedings of the international conference on topology and its applications (ICTA 2011), Islamabad, Pakistan, July 4–10, 2011. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-17-9/pbk). 231-241 (2012).
On dimensions modulo a compact metric ANR and modulo a simplicial complex. (English) Zbl 1257.54035
Reviewer: Vitalij Chatyrko (Linköping)
MSC:
54F45
On inductive dimension modulo a simplicial complex. (English) Zbl 1241.54022
Reviewer: Ziga Virk (Litija)
On dimensional properties of topological products. (English) Zbl 1246.54030
Reviewer: Vitalij Chatyrko (Linköping)
MSC:
54F45
Around a Hurewicz’s formula. (English) Zbl 1252.54023
Reviewer: Piet Borst (Alkmaar)
An observation on Krull and derived dimensions of some topological lattices. (English) Zbl 1249.06010
Reviewer: Michal Kunc (Brno)
Covering dimension and finite-to-one maps. (English) Zbl 1234.54040
Reviewer: M. G. Charalambous (Samos)
Positional dimension-like functions of the type Ind. (English) Zbl 1230.54028
Reviewer: Piet Borst (Alkmaar)
The Smirnov remainders of uniformly locally connected proper metric spaces. (English) Zbl 1211.54040
Reviewer: Richard G. Wilson (México)
Inductive dimensions modulo simplicial complexes and ANR-compacta. (English) Zbl 1222.54035
Reviewer: Kohzo Yamada (Shizuoka)
MSC:
54F45
On Dimensionsgrad, resolutions, and chainable continua. (English) Zbl 1213.54048
Reviewer: Takahisa Miyata (Kobe)
On transfinite extension of asymptotic dimension. (English) Zbl 1198.54064
Reviewer: Takahisa Miyata (Kobe)
Rigid continua and transfinite inductive dimension. (English) Zbl 1211.54046
Reviewer: K. P. Hart (Delft)
Diametral dimension of some pseudoconvex multiscale spaces. (English) Zbl 1196.46005
Reviewer: Antonio Galbis (Valencia)
Topological graph dimension. (English) Zbl 1191.05035
Reviewer: Arthur T. White (Kalamazoo)
MSC:
05C10
On dimensional properties of the generalized Smirnov’s spaces. (English) Zbl 1188.54012
Reviewer: Piet Borst (Alkmaar)
Zero bidimension, and almost dimension of topological spaces. (English) Zbl 1175.54037
Reviewer: Jorge Picado (Coimbra)
Transfinite large inductive dimensions modulo absolute Borel classes. (English) Zbl 1173.54014
Reviewer: Leonard R. Rubin (Norman)
A notion of task relatedness yielding provable multiple-task learning guarantees. (English) Zbl 1470.68082
On properties of subsets of \([0,\omega_c]\times I\). (English) Zbl 1184.54032
Reviewer: Kohzo Yamada (Shizuoka)
MSC:
54F45
The gap between the dimensions of countably paracompact spaces. (English) Zbl 1153.54015
Reviewer: Vitalij Chatyrko (Linköping)
Addition and product theorems for ind. (English) Zbl 1161.54017
Reviewer: K. P. Hart (Delft)
Nonequality of dimensions for metric groups. (English) Zbl 1156.54018
Reviewer: Kohzo Yamada (Shizuoka)
Characterization of compact spaces with noncoinciding dimensions which are subsets of products of simple spaces. (English) Zbl 1152.54024
Reviewer: Vitalij Chatyrko (Linköping)
MSC:
54F45
Transfinite dimensions Ind\(_m\). (English) Zbl 1155.54022
Reviewer: Piet Borst (Alkmaar)
MSC:
54F45
Infinite-dimensionality modulo absolute Borel classes. (English) Zbl 1153.54016
Reviewer: M. G. Charalambous (Samos)
Large inductive dimension of the Smirnov remainder. (English) Zbl 1148.54010
Reviewer: Vitalij Chatyrko (Linköping)
Measure, topology, and fractal geometry. 2nd ed. (English) Zbl 1152.28008
Undergraduate Texts in Mathematics. New York, NY: Springer (ISBN 978-0-387-74748-4/hbk). xv, 268 p. (2008).
Reviewer: José-Manuel Rey (Madrid)
Cosmic dimensions. (English) Zbl 1181.54039
Resolving a question of Arkhangel’skiĭ’s. (English) Zbl 1107.54027
Reviewer: Koichi Tsuda (Matsuyama)
A note on the Brouwer dimension of chainable spaces. (English) Zbl 1118.54019
Reviewer: Akira Koyama (Shizuoka)
MSC:
54F45
Elementarity and dimensions. (English. Russian original) Zbl 1086.54022
Math. Notes 78, No. 2, 264-269 (2005); translation from Mat. Zametki 78, No. 2, 292-298 (2005).
Reviewer: Zbigniew Karno (Białystok)
On the relationship between cmp and def for separable metrizable spaces. (English) Zbl 1080.54024
Reviewer: Leonhard R. Rubin (Norman)
MSC:
54F45
Some estimates of the inductive dimensions of the union of two sets. (English) Zbl 1063.54025
Reviewer: Richard G. Wilson (México)
MSC:
54F45
The Urysohn identity for closed subsets of some nonmetrizable manifolds. (English) Zbl 1085.54025
Reviewer: Richard G. Wilson (México)
An example of a compact Hausdorff space whose Lebesgue, Brouwer, and inductive dimensions are different. (English. Russian original) Zbl 1078.54023
Sb. Math. 195, No. 12, 1809-1822 (2004); translation from Mat. Sb. 195, No. 12, 109-122 (2004).
Reviewer: Koichi Tsuda (Matsuyama)
Compact metric spaces as minimal-limit sets in domains of bottomed sequences. (English) Zbl 1072.54024
Reviewer: J. D. Lawson (Baton Rouge)
The dimension of metrizable subspaces of Eberlein compacta and Eberlein compactifications of metrizable spaces. (English) Zbl 1062.54032
Reviewer: Koichi Tsuda (Matsuyama)
The behaviour of dimension functions on unions of closed subsets. (English) Zbl 1063.54026
Reviewer: Kohzo Yamada (Shizuoka)
MSC:
54F45
Universal spaces for asymptotic dimension. (English) Zbl 1063.54027
Reviewer: Leonhard R. Rubin (Norman)
MSC:
54F45
Extraordinary dimension theories generated by complexes. (English) Zbl 1046.54028
Reviewer: Kohzo Yamada (Shizuoka)
On ordinal VC-dimension and some notions of complexity. (English) Zbl 1263.68058
Gavaldà, Ricard (ed.) et al., Algorithmic learning theory. 14th international conference, ALT 2003, Sapporo, Japan, October 17–19, 2003. Proceedings. Berlin: Springer (ISBN 3-540-20291-9/pbk). Lecture Notes in Computer Science 2842. Lecture Notes in Artificial Intelligence, 54-68 (2003).
Notes on the inductive dimension \(Ind_0\). (English) Zbl 1071.54017
Reviewer: Richard G. Wilson (México)
MSC:
54F45
The approximation of compacta by finite \(T_0\)-spaces. (English) Zbl 1052.54017
Reviewer: H. Brandenburg (Berlin)
Around the equality ind\(X\)=Ind\(X\) towards a unifying theorem. (English) Zbl 1030.54023
Reviewer: K.Tsuda (Bunkyo-chou / Matsuyama)
MSC:
54F45
The strengthening and weakening instrument: comparability of topologies spaces. (English) Zbl 1199.54176
Reviewer: Mila Mršević (Beograd)
On Bing points in infinite-dimensional hereditarily indecomposable continua. (English) Zbl 1024.54021
Reviewer: L.R.Rubin (Norman)
Counterexamples in dimension theory. (English) Zbl 1014.54023
Reviewer: K.Tsuda (Bunkyo-chou / Matsuyama)
On dimensional properties of order totally paracompact spaces. (English) Zbl 1022.54023
Reviewer: L.R.Rubin (Norman)
MSC:
54F45
Topological dimension and sums of connectivity functions. (English) Zbl 1006.54045
Reviewer: Akira Koyama (Kashiwara, Osaka)
On another approach for constructing compacta with different dimensions dim and ind. (English) Zbl 1026.54038
MSC:
54F45
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Biographic Reference
- Lorenzen, Paul (1)
