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## Lupton, Gregory M.

Compute Distance To:
 Author ID: lupton.gregory-m Published as: Lupton, Gregory; Lupton, Gregory M.; Lupton, G. External Links: MGP
 Documents Indexed: 48 Publications since 1990, including 4 Books Reviewing Activity: 37 Reviews
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#### Co-Authors

 5 single-authored 16 Smith, Samuel Bruce 12 Oprea, John F. 9 Arkowitz, Martin 7 Grant, Mark 4 Félix, Yves 2 Bazzoni, Giovanni 2 Cornea, Octav 2 Farber, Michael S. 2 Tanré, Daniel 2 Vandembroucq, Lucile 1 Jessup, Barry 1 Murillo-Mas, Aniceto 1 Phillips, N. Christopher 1 Scherer, Jérôme 1 Schochet, Claude L. 1 Umble, Ronald N.
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#### Serials

 5 Proceedings of the American Mathematical Society 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Journal of Pure and Applied Algebra 3 Transactions of the American Mathematical Society 3 Topology and its Applications 3 Homology, Homotopy and Applications 3 Algebraic & Geometric Topology 3 Contemporary Mathematics 2 Mathematische Zeitschrift 2 Oberwolfach Reports 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Topology 1 Differential Geometry and its Applications 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Revista Matemática Complutense 1 Mathematical Surveys and Monographs 1 Journal of Homotopy and Related Structures
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#### Fields

 48 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 5 General and overarching topics; collections (00-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 319 times in 246 Documents Cited by Year
Lusternik-Schnirelmann category. Zbl 1032.55001
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel
2003
Cohomologically symplectic spaces: Toral actions and the Gottlieb group. Zbl 0836.57019
Lupton, Gregory; Oprea, John
1995
Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and $$G$$-sequences. Zbl 1112.55012
Lupton, Gregory; Smith, Samuel Bruce
2007
Symplectic manifolds and formality. Zbl 0789.55010
Lupton, Gregory; Oprea, John
1994
The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011
Félix, Yves; Lupton, Gregory; Smith, Samuel B.
2010
Free torus actions and two-stage spaces. Zbl 1072.55009
Jessup, Barry; Lupton, Gregory
2004
Rational obstruction theory and rational homotopy sets. Zbl 0968.55005
Arkowitz, Martin; Lupton, Gregory
2000
Variations on a conjecture of Halperin. Zbl 0931.55007
Lupton, Gregory
1998
Topological complexity of $$H$$-spaces. Zbl 1263.55002
Lupton, Gregory; Scherer, Jérôme
2013
Rational co-H-spaces. Zbl 0724.55009
Arkowitz, Martin; Lupton, Gregory
1991
On finiteness of subgroups of self-homotopy equivalences. Zbl 0830.55010
Arkowitz, Martin; Lupton, Gregory
1995
New lower bounds for the topological complexity of aspherical spaces. Zbl 1317.55003
Grant, Mark; Lupton, Gregory; Oprea, John
2015
Equivalence classes of homotopy-associative comultiplications of finite complexes. Zbl 0862.57026
Arkowitz, Martin; Lupton, Gregory
1995
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
2013
Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps. Zbl 1113.55007
Lupton, Gregory; Smith, Samuel Bruce
2007
Note on a conjecture of Stephen Halperin’s. Zbl 0708.55008
Lupton, Gregory
1990
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
2009
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2019
On the nilpotency of subgroups of self-homotopy equivalences. Zbl 0851.55017
Arkowitz, Martin; Lupton, Gregory
1996
Subgroups of the group of self-homotopy equivalences. Zbl 0982.55002
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto
2001
A mapping theorem for topological complexity. Zbl 1321.55002
Grant, Mark; Lupton, Gregory; Oprea, John
2015
Loop-theoretic properties of H-spaces. Zbl 0732.55008
Arkowitz, Martin; Lupton, Gregory
1991
Criteria for components of a function space to be homotopy equivalent. Zbl 1151.55006
Lupton, Gregory; Smith, Samuel Bruce
2008
Intrinsic formality and certain types of algebras. Zbl 0697.55015
Lupton, Gregory
1990
Whitehead products in function spaces: Quillen model formulae. Zbl 1193.55005
Lupton, Gregory; Smith, Samuel Bruce
2010
Hereditary properties of co-Kähler manifolds. Zbl 1358.55010
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
2017
Realizing spaces as classifying spaces. Zbl 1348.55010
Lupton, Gregory; Smith, Samuel Bruce
2016
The evaluation subgroup of a fibre inclusion. Zbl 1121.55011
Lupton, Gregory; Smith, Samuel Bruce
2007
Minimal models of loop spaces and suspensions. Zbl 0808.55009
Arkowitz, Martin; Lupton, Gregory
1993
Fixed points and powers of self-maps of $$H$$-spaces. Zbl 0867.55011
Lupton, Gregory; Oprea, John
1996
The rational Toomer invariant and certain elliptic spaces. Zbl 1041.55008
Lupton, Gregory
2002
Gottlieb groups of function spaces. Zbl 1371.55010
Lupton, Gregory; Smith, Samuel Bruce
2015
Evaluation maps in rational homotopy. Zbl 1125.55006
Félix, Yves; Lupton, Gregory
2007
Rank of the fundamental group of any component of a function space. Zbl 1116.55006
Lupton, Gregory; Smith, Samuel Bruce
2007
Bredon cohomology and robot motion planning. Zbl 07121519
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2019
Cyclic maps in rational homotopy theory. Zbl 1077.55008
Lupton, Gregory; Smith, Samuel Bruce
2005
Algebras realized by $$n$$ rational homotopy types. Zbl 0735.55008
Lupton, Gregory
1991
Parallel forms, co-Kähler manifolds and their models. Zbl 1395.55013
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
2018
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2019
Bredon cohomology and robot motion planning. Zbl 07121519
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2019
Parallel forms, co-Kähler manifolds and their models. Zbl 1395.55013
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
2018
Hereditary properties of co-Kähler manifolds. Zbl 1358.55010
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
2017
Realizing spaces as classifying spaces. Zbl 1348.55010
Lupton, Gregory; Smith, Samuel Bruce
2016
New lower bounds for the topological complexity of aspherical spaces. Zbl 1317.55003
Grant, Mark; Lupton, Gregory; Oprea, John
2015
A mapping theorem for topological complexity. Zbl 1321.55002
Grant, Mark; Lupton, Gregory; Oprea, John
2015
Gottlieb groups of function spaces. Zbl 1371.55010
Lupton, Gregory; Smith, Samuel Bruce
2015
Topological complexity of $$H$$-spaces. Zbl 1263.55002
Lupton, Gregory; Scherer, Jérôme
2013
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
2013
The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011
Félix, Yves; Lupton, Gregory; Smith, Samuel B.
2010
Whitehead products in function spaces: Quillen model formulae. Zbl 1193.55005
Lupton, Gregory; Smith, Samuel Bruce
2010
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
2009
Criteria for components of a function space to be homotopy equivalent. Zbl 1151.55006
Lupton, Gregory; Smith, Samuel Bruce
2008
Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and $$G$$-sequences. Zbl 1112.55012
Lupton, Gregory; Smith, Samuel Bruce
2007
Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps. Zbl 1113.55007
Lupton, Gregory; Smith, Samuel Bruce
2007
The evaluation subgroup of a fibre inclusion. Zbl 1121.55011
Lupton, Gregory; Smith, Samuel Bruce
2007
Evaluation maps in rational homotopy. Zbl 1125.55006
Félix, Yves; Lupton, Gregory
2007
Rank of the fundamental group of any component of a function space. Zbl 1116.55006
Lupton, Gregory; Smith, Samuel Bruce
2007
Cyclic maps in rational homotopy theory. Zbl 1077.55008
Lupton, Gregory; Smith, Samuel Bruce
2005
Free torus actions and two-stage spaces. Zbl 1072.55009
Jessup, Barry; Lupton, Gregory
2004
Lusternik-Schnirelmann category. Zbl 1032.55001
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel
2003
The rational Toomer invariant and certain elliptic spaces. Zbl 1041.55008
Lupton, Gregory
2002
Subgroups of the group of self-homotopy equivalences. Zbl 0982.55002
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto
2001
Rational obstruction theory and rational homotopy sets. Zbl 0968.55005
Arkowitz, Martin; Lupton, Gregory
2000
Variations on a conjecture of Halperin. Zbl 0931.55007
Lupton, Gregory
1998
On the nilpotency of subgroups of self-homotopy equivalences. Zbl 0851.55017
Arkowitz, Martin; Lupton, Gregory
1996
Fixed points and powers of self-maps of $$H$$-spaces. Zbl 0867.55011
Lupton, Gregory; Oprea, John
1996
Cohomologically symplectic spaces: Toral actions and the Gottlieb group. Zbl 0836.57019
Lupton, Gregory; Oprea, John
1995
On finiteness of subgroups of self-homotopy equivalences. Zbl 0830.55010
Arkowitz, Martin; Lupton, Gregory
1995
Equivalence classes of homotopy-associative comultiplications of finite complexes. Zbl 0862.57026
Arkowitz, Martin; Lupton, Gregory
1995
Symplectic manifolds and formality. Zbl 0789.55010
Lupton, Gregory; Oprea, John
1994
Minimal models of loop spaces and suspensions. Zbl 0808.55009
Arkowitz, Martin; Lupton, Gregory
1993
Rational co-H-spaces. Zbl 0724.55009
Arkowitz, Martin; Lupton, Gregory
1991
Loop-theoretic properties of H-spaces. Zbl 0732.55008
Arkowitz, Martin; Lupton, Gregory
1991
Algebras realized by $$n$$ rational homotopy types. Zbl 0735.55008
Lupton, Gregory
1991
Note on a conjecture of Stephen Halperin’s. Zbl 0708.55008
Lupton, Gregory
1990
Intrinsic formality and certain types of algebras. Zbl 0697.55015
Lupton, Gregory
1990
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#### Cited by 243 Authors

 20 Lupton, Gregory M. 16 Oprea, John F. 13 Smith, Samuel Bruce 12 Grant, Mark 11 Dranishnikov, Alexander Nikolaevich 11 Yamaguchi, Toshihiro 9 Félix, Yves 8 Arkowitz, Martin 7 Farber, Michael S. 7 Lee, Dae-Woong 7 Macias-Virgós, Enrique 7 Murillo-Mas, Aniceto 6 Bazzoni, Giovanni 6 Buijs, Urtzi 6 Gonzalez, Jesus 6 Pavešić, Petar 6 Strom, Jeffrey A. 6 Vandembroucq, Lucile 5 Amann, Manuel 5 García-Calcines, Jose Manuel 5 Muñoz Velázquez, Vicente 5 Rudyak, Yuli B. 5 Tanré, Daniel 4 Colman, Hellen 4 Costoya, Cristina 4 Liu, Xiugui 4 Mescher, Stephan 4 Viruel, Antonio 3 Blagojević, Pavle V. M. 3 Doeraene, Jean-Paul 3 Fernández-Ternero, Desamparados 3 Fernández Rodríguez, Marisa 3 Koschorke, Ulrich 3 Oda, Nobuyuki 3 Pereira-Sáez, María José 3 Sadykov, Rustam 3 Sarkar, Soumen 3 Tralle, Aleksy E. 3 Vilches, Jose Antonio 2 Allday, Christopher 2 Bayeh, Marzieh 2 Benkhalifa, Mahmoud 2 Borat, Ayşe 2 Cárdenas, Manuel 2 Carrasquel-Vera, José Gabriel 2 De Melo, Thiago 2 Fernández-Suárez, Lucía 2 Gatsinzi, Jean-Baptiste 2 Golasiński, Marek 2 Gómez Larrañaga, José Carlos 2 González Acuña, Francisco Javier 2 Hao, Yanlong 2 Heil, Wolfgang H. 2 Huang, Ruizhi 2 Ibáñez, Raúl 2 Iwase, Norio 2 Kahl, Thomas 2 Kennard, Lee 2 Kishimoto, Daisuke 2 Lee, Jinho 2 Lee, Kee Young 2 Mamouni, My Ismail 2 Manin, Fedor 2 Mendez, David 2 Muro, Fernando 2 Nishinobu, Hirokazu 2 Onyango-Otieno, Vitalis 2 Otieno, Paul Antony 2 Pelayo, Alvaro 2 Quintero, Antonio 2 Recio-Mitter, David 2 Schütz, Dirk 2 Scoville, Nicholas A. 2 Srinivasan, Tulsi 2 Stanley, Donald A. 2 Vergili, Tane 2 Yokura, Shoji 2 Ziegler, Günter Matthias 1 Adiprasito, Karim Alexander 1 Aiex, Nicolau S. 1 Alpert, Hannah 1 Alsulami, Samirah 1 Babenko, Ivan K. 1 Baralić, Đorđe 1 Baryshnikov, Yuliy M. 1 Basabe, Ibai 1 Beauchemin, N. 1 Ben El Krafi, Badr 1 Bianchi, Andrea 1 Błaszczyk, Zbigniew 1 Bolotov, Dmitriĭ Valer’evich 1 Borghini, Eugenio 1 Buhovsky, Lev 1 Cadavid-Aguilar, Natalia 1 Carrasco, Dante 1 Carrasquel, José 1 Cavalcanti, Gil Ramos 1 Cerami, Giovanna 1 Cho, Yong Seung 1 Cho, Yunhyung ...and 143 more Authors
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#### Cited in 79 Serials

 57 Topology and its Applications 25 Proceedings of the American Mathematical Society 23 Algebraic & Geometric Topology 10 Transactions of the American Mathematical Society 9 Mathematische Zeitschrift 8 Journal of Homotopy and Related Structures 6 Journal of Pure and Applied Algebra 4 Geometry & Topology 3 Journal of Geometry and Physics 3 Advances in Mathematics 3 International Journal of Mathematics and Mathematical Sciences 3 Mathematische Annalen 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Inventiones Mathematicae 2 Journal of the Mathematical Society of Japan 2 Manuscripta Mathematica 2 Forum Mathematicum 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Applicable Algebra in Engineering, Communication and Computing 2 Revista Matemática Complutense 2 Communications of the Korean Mathematical Society 2 Communications in Contemporary Mathematics 2 Fixed Point Theory and Applications 2 Journal of Topology and Analysis 2 Arabian Journal of Mathematics 1 Israel Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Collectanea Mathematica 1 Duke Mathematical Journal 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 Meccanica 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 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Differential Geometry and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Turkish Journal of Mathematics 1 The New York Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 European Mathematical Society Newsletter 1 Transformation Groups 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Journal of Topology 1 Journal of $$K$$-Theory 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Afrika Matematika 1 Annales Mathématiques du Québec 1 EMS Surveys in Mathematical Sciences 1 Chinese Journal of Mathematics 1 Bulletin of Computational Applied Mathematics 1 Open Mathematics 1 Complex Manifolds 1 Journal of Applied and Computational Topology
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#### Cited in 32 Fields

 209 Algebraic topology (55-XX) 63 Manifolds and cell complexes (57-XX) 44 Differential geometry (53-XX) 14 General topology (54-XX) 13 Computer science (68-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Group theory and generalizations (20-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Mechanics of particles and systems (70-XX) 7 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 6 Topological groups, Lie groups (22-XX) 5 Category theory; homological algebra (18-XX) 4 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)