×
Author ID: lupton.gregory-m Recent zbMATH articles by "Lupton, Gregory M."
Published as: Lupton, Gregory; Lupton, Gregory M.; Lupton, G.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 520 times in 391 Documents Cited by Year
Lusternik-Schnirelmann category. Zbl 1032.55001
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel
189
2003
Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences. Zbl 1112.55012
Lupton, Gregory; Smith, Samuel Bruce
27
2007
Cohomologically symplectic spaces: Toral actions and the Gottlieb group. Zbl 0836.57019
Lupton, Gregory; Oprea, John
24
1995
Rational obstruction theory and rational homotopy sets. Zbl 0968.55005
Arkowitz, Martin; Lupton, Gregory
20
2000
Symplectic manifolds and formality. Zbl 0789.55010
Lupton, Gregory; Oprea, John
15
1994
Bredon cohomology and robot motion planning. Zbl 1471.55003
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
15
2019
Topological complexity of \(H\)-spaces. Zbl 1263.55002
Lupton, Gregory; Scherer, Jérôme
14
2013
Variations on a conjecture of Halperin. Zbl 0931.55007
Lupton, Gregory
12
1998
Rational co-H-spaces. Zbl 0724.55009
Arkowitz, Martin; Lupton, Gregory
12
1991
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
12
2013
The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011
Félix, Yves; Lupton, Gregory; Smith, Samuel B.
12
2010
Free torus actions and two-stage spaces. Zbl 1072.55009
Jessup, Barry; Lupton, Gregory
12
2004
Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps. Zbl 1113.55007
Lupton, Gregory; Smith, Samuel Bruce
11
2007
New lower bounds for the topological complexity of aspherical spaces. Zbl 1317.55003
Grant, Mark; Lupton, Gregory; Oprea, John
11
2015
Note on a conjecture of Stephen Halperin’s. Zbl 0708.55008
Lupton, Gregory
10
1990
Equivalence classes of homotopy-associative comultiplications of finite complexes. Zbl 0862.57026
Arkowitz, Martin; Lupton, Gregory
10
1995
On finiteness of subgroups of self-homotopy equivalences. Zbl 0830.55010
Arkowitz, Martin; Lupton, Gregory
9
1995
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
9
2019
Homotopy theory in digital topology. Zbl 1481.54060
Lupton, Gregory; Oprea, John; Scoville, Nicholas A.
8
2022
A fundamental group for digital images. Zbl 1481.55008
Lupton, Gregory; Oprea, John; Scoville, Nicholas A.
7
2021
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
7
2009
Criteria for components of a function space to be homotopy equivalent. Zbl 1151.55006
Lupton, Gregory; Smith, Samuel Bruce
6
2008
Subgroups of the group of self-homotopy equivalences. Zbl 0982.55002
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto
6
2001
On the nilpotency of subgroups of self-homotopy equivalences. Zbl 0851.55017
Arkowitz, Martin; Lupton, Gregory
5
1996
A mapping theorem for topological complexity. Zbl 1321.55002
Grant, Mark; Lupton, Gregory; Oprea, John
5
2015
Intrinsic formality and certain types of algebras. Zbl 0697.55015
Lupton, Gregory
5
1990
Realizing spaces as classifying spaces. Zbl 1348.55010
Lupton, Gregory; Smith, Samuel Bruce
5
2016
Loop-theoretic properties of H-spaces. Zbl 0732.55008
Arkowitz, Martin; Lupton, Gregory
4
1991
The rational Toomer invariant and certain elliptic spaces. Zbl 1041.55008
Lupton, Gregory
4
2002
Hereditary properties of co-Kähler manifolds. Zbl 1358.55010
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
4
2017
The evaluation subgroup of a fibre inclusion. Zbl 1121.55011
Lupton, Gregory; Smith, Samuel Bruce
3
2007
Fixed points and powers of self-maps of \(H\)-spaces. Zbl 0867.55011
Lupton, Gregory; Oprea, John
3
1996
Whitehead products in function spaces: Quillen model formulae. Zbl 1193.55005
Lupton, Gregory; Smith, Samuel Bruce
3
2010
Rank of the fundamental group of any component of a function space. Zbl 1116.55006
Lupton, Gregory; Smith, Samuel Bruce
2
2007
Evaluation maps in rational homotopy. Zbl 1125.55006
Félix, Yves; Lupton, Gregory
2
2007
Minimal models of loop spaces and suspensions. Zbl 0808.55009
Arkowitz, Martin; Lupton, Gregory
2
1993
Topological complexity and related topics. Mini-workshop on topological complexity and related topics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, February 28 – March 5, 2016. Proceedings. Zbl 1384.55001
2
2018
Gottlieb groups of function spaces. Zbl 1371.55010
Lupton, Gregory; Smith, Samuel Bruce
2
2015
Subdivision of maps of digital images. Zbl 1487.55018
Lupton, Gregory; Oprea, John; Scoville, Nicholas A.
2
2022
The universal fibration with fibre \(X\) in rational homotopy theory. Zbl 1445.55009
Lupton, Gregory; Smith, Samuel Bruce
2
2020
Cyclic maps in rational homotopy theory. Zbl 1077.55008
Lupton, Gregory; Smith, Samuel Bruce
1
2005
Algebras realized by \(n\) rational homotopy types. Zbl 0735.55008
Lupton, Gregory
1
1991
Fibrewise rational H-spaces. Zbl 1248.55004
Lupton, Gregory; Smith, Samuel Bruce
1
2012
Mini-workshop: Topological complexity and related topics. Abstracts from the mini-workshop held February 28 – March 5, 2016. Zbl 1380.00082
1
2016
Parallel forms, co-Kähler manifolds and their models. Zbl 1395.55013
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
1
2018
The structuring effect of a Gottlieb element on the Sullivan model of a space. Zbl 07771517
Lupton, Gregory; Smith, Samuel Bruce
1
2023
Homotopy invariants and almost non-negative curvature. Zbl 1489.55006
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
1
2022
The structuring effect of a Gottlieb element on the Sullivan model of a space. Zbl 07771517
Lupton, Gregory; Smith, Samuel Bruce
1
2023
Homotopy theory in digital topology. Zbl 1481.54060
Lupton, Gregory; Oprea, John; Scoville, Nicholas A.
8
2022
Subdivision of maps of digital images. Zbl 1487.55018
Lupton, Gregory; Oprea, John; Scoville, Nicholas A.
2
2022
Homotopy invariants and almost non-negative curvature. Zbl 1489.55006
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
1
2022
A fundamental group for digital images. Zbl 1481.55008
Lupton, Gregory; Oprea, John; Scoville, Nicholas A.
7
2021
The universal fibration with fibre \(X\) in rational homotopy theory. Zbl 1445.55009
Lupton, Gregory; Smith, Samuel Bruce
2
2020
Bredon cohomology and robot motion planning. Zbl 1471.55003
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
15
2019
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
9
2019
Topological complexity and related topics. Mini-workshop on topological complexity and related topics, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, February 28 – March 5, 2016. Proceedings. Zbl 1384.55001
2
2018
Parallel forms, co-Kähler manifolds and their models. Zbl 1395.55013
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
1
2018
Hereditary properties of co-Kähler manifolds. Zbl 1358.55010
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
4
2017
Realizing spaces as classifying spaces. Zbl 1348.55010
Lupton, Gregory; Smith, Samuel Bruce
5
2016
Mini-workshop: Topological complexity and related topics. Abstracts from the mini-workshop held February 28 – March 5, 2016. Zbl 1380.00082
1
2016
New lower bounds for the topological complexity of aspherical spaces. Zbl 1317.55003
Grant, Mark; Lupton, Gregory; Oprea, John
11
2015
A mapping theorem for topological complexity. Zbl 1321.55002
Grant, Mark; Lupton, Gregory; Oprea, John
5
2015
Gottlieb groups of function spaces. Zbl 1371.55010
Lupton, Gregory; Smith, Samuel Bruce
2
2015
Topological complexity of \(H\)-spaces. Zbl 1263.55002
Lupton, Gregory; Scherer, Jérôme
14
2013
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
12
2013
Fibrewise rational H-spaces. Zbl 1248.55004
Lupton, Gregory; Smith, Samuel Bruce
1
2012
The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011
Félix, Yves; Lupton, Gregory; Smith, Samuel B.
12
2010
Whitehead products in function spaces: Quillen model formulae. Zbl 1193.55005
Lupton, Gregory; Smith, Samuel Bruce
3
2010
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
7
2009
Criteria for components of a function space to be homotopy equivalent. Zbl 1151.55006
Lupton, Gregory; Smith, Samuel Bruce
6
2008
Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences. Zbl 1112.55012
Lupton, Gregory; Smith, Samuel Bruce
27
2007
Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps. Zbl 1113.55007
Lupton, Gregory; Smith, Samuel Bruce
11
2007
The evaluation subgroup of a fibre inclusion. Zbl 1121.55011
Lupton, Gregory; Smith, Samuel Bruce
3
2007
Rank of the fundamental group of any component of a function space. Zbl 1116.55006
Lupton, Gregory; Smith, Samuel Bruce
2
2007
Evaluation maps in rational homotopy. Zbl 1125.55006
Félix, Yves; Lupton, Gregory
2
2007
Cyclic maps in rational homotopy theory. Zbl 1077.55008
Lupton, Gregory; Smith, Samuel Bruce
1
2005
Free torus actions and two-stage spaces. Zbl 1072.55009
Jessup, Barry; Lupton, Gregory
12
2004
Lusternik-Schnirelmann category. Zbl 1032.55001
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel
189
2003
The rational Toomer invariant and certain elliptic spaces. Zbl 1041.55008
Lupton, Gregory
4
2002
Subgroups of the group of self-homotopy equivalences. Zbl 0982.55002
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto
6
2001
Rational obstruction theory and rational homotopy sets. Zbl 0968.55005
Arkowitz, Martin; Lupton, Gregory
20
2000
Variations on a conjecture of Halperin. Zbl 0931.55007
Lupton, Gregory
12
1998
On the nilpotency of subgroups of self-homotopy equivalences. Zbl 0851.55017
Arkowitz, Martin; Lupton, Gregory
5
1996
Fixed points and powers of self-maps of \(H\)-spaces. Zbl 0867.55011
Lupton, Gregory; Oprea, John
3
1996
Cohomologically symplectic spaces: Toral actions and the Gottlieb group. Zbl 0836.57019
Lupton, Gregory; Oprea, John
24
1995
Equivalence classes of homotopy-associative comultiplications of finite complexes. Zbl 0862.57026
Arkowitz, Martin; Lupton, Gregory
10
1995
On finiteness of subgroups of self-homotopy equivalences. Zbl 0830.55010
Arkowitz, Martin; Lupton, Gregory
9
1995
Symplectic manifolds and formality. Zbl 0789.55010
Lupton, Gregory; Oprea, John
15
1994
Minimal models of loop spaces and suspensions. Zbl 0808.55009
Arkowitz, Martin; Lupton, Gregory
2
1993
Rational co-H-spaces. Zbl 0724.55009
Arkowitz, Martin; Lupton, Gregory
12
1991
Loop-theoretic properties of H-spaces. Zbl 0732.55008
Arkowitz, Martin; Lupton, Gregory
4
1991
Algebras realized by \(n\) rational homotopy types. Zbl 0735.55008
Lupton, Gregory
1
1991
Note on a conjecture of Stephen Halperin’s. Zbl 0708.55008
Lupton, Gregory
10
1990
Intrinsic formality and certain types of algebras. Zbl 0697.55015
Lupton, Gregory
5
1990
all top 5

Cited by 352 Authors

25 Oprea, John F.
24 Lupton, Gregory M.
15 Grant, Mark
15 Yamaguchi, Toshihiro
14 Smith, Samuel Bruce
13 Macias-Virgós, Enrique
11 Lee, Dae-Woong
10 Dranishnikov, Alexander Nikolaevich
10 Félix, Yves
10 Vandembroucq, Lucile
9 Farber, Michael S.
9 Gonzalez, Jesus
8 Arkowitz, Martin
8 Gatsinzi, Jean-Baptiste
8 Maphane, Oteng
8 Murillo-Mas, Aniceto
8 Pavešić, Petar
8 Rudyak, Yuli B.
7 Amann, Manuel
7 Bazzoni, Giovanni
7 Borat, Ayşe
7 Scoville, Nicholas A.
7 Strom, Jeffrey A.
6 Buijs, Urtzi
6 Colman, Hellen
6 García-Calcines, Jose Manuel
6 Liu, Xiugui
6 Muñoz Velázquez, Vicente
6 Tanré, Daniel
6 Vergili, Tane
5 Benkhalifa, Mahmoud
5 Costoya, Cristina
5 Fernández-Ternero, Desamparados
5 Manin, Fedor
5 Mescher, Stephan
5 Oda, Nobuyuki
5 Sarkar, Soumen
5 Vilches, Jose Antonio
5 Viruel, Antonio
5 Ipanaque Zapata, Cesar Augusto
4 Cohen, Daniel C.
4 Kuanyshov, Nursultan
4 Lee, Sunyoung
4 Mosquera-Lois, David
4 Pereira-Sáez, María José
4 Sadykov, Rustam
4 Zaim, Abdelhadi
3 Aguilar-Guzmán, Jorge
3 Blagojević, Pavle V. M.
3 Buhovsky, Lev
3 Carrasquel-Vera, José Gabriel
3 Doeraene, Jean-Paul
3 Fernández Rodríguez, Marisa
3 Gómez Larrañaga, José Carlos
3 González Acuña, Francisco Javier
3 Heil, Wolfgang H.
3 Humilière, Vincent
3 Iwase, Norio
3 Karaca, Ismet
3 Kennard, Lee
3 Koschorke, Ulrich
3 Kuribayashi, Katsuhiko
3 Löh, Clara
3 Moraschini, Marco
3 Naito, Takahito
3 Seyfaddini, Sobhan
3 Stanley, Donald
3 Tralle, Aleksy E.
3 Weinberger, Shmuel
2 Adiprasito, Karim Alexander
2 Allday, Christopher
2 Ángel, Andrés
2 Bayeh, Marzieh
2 Błaszczyk, Zbigniew
2 Cárdenas, Manuel
2 De Melo, Thiago
2 Fernández-Suárez, Lucía
2 Fişekci, Seher
2 Golasiński, Marek
2 Govc, Dejan
2 Hao, Yanlong
2 Huang, Ruizhi
2 Ibáñez, Raúl
2 Is, Melih Is
2 Kahl, Thomas
2 Karasev, Roman N.
2 Katz, Mikhail G.
2 Kishimoto, Daisuke
2 Korbaš, Július
2 Lee, Jinho
2 Lee, Kee Young
2 Lim, Jeongeun
2 Mamouni, My Ismail
2 Marzantowicz, Wacław
2 Mendez, David
2 Muro, Fernando
2 Nishinobu, Hirokazu
2 Onyango-Otieno, Vitalis
2 Otieno, Paul Antony
2 Paul, Amit Kumar
...and 252 more Authors
all top 5

Cited in 124 Serials

69 Topology and its Applications
29 Proceedings of the American Mathematical Society
29 Algebraic & Geometric Topology
14 Mathematische Zeitschrift
11 Transactions of the American Mathematical Society
11 Journal of Homotopy and Related Structures
10 Journal of Pure and Applied Algebra
8 Topological Methods in Nonlinear Analysis
6 Discrete & Computational Geometry
6 Communications of the Korean Mathematical Society
6 Journal of Applied and Computational Topology
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Topology and Analysis
4 Advances in Mathematics
4 International Journal of Mathematics and Mathematical Sciences
4 Forum Mathematicum
4 Turkish Journal of Mathematics
4 Geometry & Topology
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Journal of Geometry and Physics
3 Inventiones Mathematicae
3 Mathematische Annalen
3 Quaestiones Mathematicae
3 Applicable Algebra in Engineering, Communication and Computing
3 Topology Proceedings
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Afrika Matematika
2 Israel Journal of Mathematics
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 Journal of the Mathematical Society of Japan
2 Manuscripta Mathematica
2 Chinese Annals of Mathematics. Series B
2 Annals of Global Analysis and Geometry
2 Revista Matemática Iberoamericana
2 Linear Algebra and its Applications
2 Kyushu Journal of Mathematics
2 Transformation Groups
2 Revista Matemática Complutense
2 Communications in Contemporary Mathematics
2 Mediterranean Journal of Mathematics
2 Fixed Point Theory and Applications
2 Journal of Fixed Point Theory and Applications
2 Armenian Journal of Mathematics
2 Applied General Topology
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Proceedings of the International Geometry Center
2 Arabian Journal of Mathematics
2 EMS Surveys in Mathematical Sciences
2 SIAM Journal on Applied Algebra and Geometry
2 Graduate Journal of Mathematics
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Ukrainian Mathematical Journal
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Bulletin de la Société Mathématique de France
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Collectanea Mathematica
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Journal of Combinatorial Theory. Series A
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Kyungpook Mathematical Journal
1 Mathematica Slovaca
1 Meccanica
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Osaka Journal of Mathematics
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Siberian Mathematical Journal
1 Combinatorica
1 Bulletin of the Iranian Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 SIAM Journal on Discrete Mathematics
1 Journal of the Ramanujan Mathematical Society
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 Filomat
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
1 Advances in Differential Equations
1 Theory and Applications of Categories
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 European Mathematical Society Newsletter
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Foundations of Computational Mathematics
1 Journal of the Australian Mathematical Society
1 JP Journal of Geometry and Topology
...and 24 more Serials

Citations by Year