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Lupton, Gregory M.

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Author ID: lupton.gregory-m Recent zbMATH articles by "Lupton, Gregory M."
Published as: Lupton, G.; Lupton, Gregory; Lupton, Gregory M.
External Links: MGP
Documents Indexed: 48 Publications since 1990, including 4 Books
Reviewing Activity: 35 Reviews

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 318 times in 245 Documents Cited by Year
Lusternik-Schnirelmann category. Zbl 1032.55001
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel
111
2003
Cohomologically symplectic spaces: Toral actions and the Gottlieb group. Zbl 0836.57019
Lupton, Gregory; Oprea, John
21
1995
The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011
Félix, Yves; Lupton, Gregory; Smith, Samuel B.
11
2010
Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences. Zbl 1112.55012
Lupton, Gregory; Smith, Samuel Bruce
11
2007
Symplectic manifolds and formality. Zbl 0789.55010
Lupton, Gregory; Oprea, John
11
1994
Topological complexity of \(H\)-spaces. Zbl 1263.55002
Lupton, Gregory; Scherer, Jérôme
10
2013
Free torus actions and two-stage spaces. Zbl 1072.55009
Jessup, Barry; Lupton, Gregory
10
2004
Rational obstruction theory and rational homotopy sets. Zbl 0968.55005
Arkowitz, Martin; Lupton, Gregory
10
2000
Variations on a conjecture of Halperin. Zbl 0931.55007
Lupton, Gregory
10
1998
Rational co-H-spaces. Zbl 0724.55009
Arkowitz, Martin; Lupton, Gregory
10
1991
New lower bounds for the topological complexity of aspherical spaces. Zbl 1317.55003
Grant, Mark; Lupton, Gregory; Oprea, John
8
2015
On finiteness of subgroups of self-homotopy equivalences. Zbl 0830.55010
Arkowitz, Martin; Lupton, Gregory
8
1995
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
7
2013
Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps. Zbl 1113.55007
Lupton, Gregory; Smith, Samuel Bruce
7
2007
Equivalence classes of homotopy-associative comultiplications of finite complexes. Zbl 0862.57026
Arkowitz, Martin; Lupton, Gregory
7
1995
Note on a conjecture of Stephen Halperin’s. Zbl 0708.55008
Lupton, Gregory
6
1990
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
5
2009
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
4
2019
A mapping theorem for topological complexity. Zbl 1321.55002
Grant, Mark; Lupton, Gregory; Oprea, John
4
2015
Whitehead products in function spaces: Quillen model formulae. Zbl 1193.55005
Lupton, Gregory; Smith, Samuel Bruce
4
2010
Subgroups of the group of self-homotopy equivalences. Zbl 0982.55002
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto
4
2001
On the nilpotency of subgroups of self-homotopy equivalences. Zbl 0851.55017
Arkowitz, Martin; Lupton, Gregory
4
1996
Loop-theoretic properties of H-spaces. Zbl 0732.55008
Arkowitz, Martin; Lupton, Gregory
4
1991
Hereditary properties of co-Kähler manifolds. Zbl 1358.55010
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
3
2017
Realizing spaces as classifying spaces. Zbl 1348.55010
Lupton, Gregory; Smith, Samuel Bruce
3
2016
Criteria for components of a function space to be homotopy equivalent. Zbl 1151.55006
Lupton, Gregory; Smith, Samuel Bruce
3
2008
The evaluation subgroup of a fibre inclusion. Zbl 1121.55011
Lupton, Gregory; Smith, Samuel Bruce
3
2007
Intrinsic formality and certain types of algebras. Zbl 0697.55015
Lupton, Gregory
3
1990
Bredon cohomology and robot motion planning. Zbl 07121519
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2
2019
Evaluation maps in rational homotopy. Zbl 1125.55006
Félix, Yves; Lupton, Gregory
2
2007
Rank of the fundamental group of any component of a function space. Zbl 1116.55006
Lupton, Gregory; Smith, Samuel Bruce
2
2007
The rational Toomer invariant and certain elliptic spaces. Zbl 1041.55008
Lupton, Gregory
2
2002
Fixed points and powers of self-maps of \(H\)-spaces. Zbl 0867.55011
Lupton, Gregory; Oprea, John
2
1996
Minimal models of loop spaces and suspensions. Zbl 0808.55009
Arkowitz, Martin; Lupton, Gregory
2
1993
Parallel forms, co-Kähler manifolds and their models. Zbl 1395.55013
Bazzoni, Giovanni; Lupton, Gregory; Oprea, John
1
2018
Gottlieb groups of function spaces. Zbl 1371.55010
Lupton, Gregory; Smith, Samuel Bruce
1
2015
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
An upper bound for topological complexity. Zbl 1410.55002
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
4
2019
Bredon cohomology and robot motion planning. Zbl 07121519
Farber, Michael; Grant, Mark; Lupton, Gregory; Oprea, John
2
2019
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
3
2017
Realizing spaces as classifying spaces. Zbl 1348.55010
Lupton, Gregory; Smith, Samuel Bruce
3
2016
New lower bounds for the topological complexity of aspherical spaces. Zbl 1317.55003
Grant, Mark; Lupton, Gregory; Oprea, John
8
2015
A mapping theorem for topological complexity. Zbl 1321.55002
Grant, Mark; Lupton, Gregory; Oprea, John
4
2015
Gottlieb groups of function spaces. Zbl 1371.55010
Lupton, Gregory; Smith, Samuel Bruce
1
2015
Topological complexity of \(H\)-spaces. Zbl 1263.55002
Lupton, Gregory; Scherer, Jérôme
10
2013
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
7
2013
The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011
Félix, Yves; Lupton, Gregory; Smith, Samuel B.
11
2010
Whitehead products in function spaces: Quillen model formulae. Zbl 1193.55005
Lupton, Gregory; Smith, Samuel Bruce
4
2010
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
5
2009
Criteria for components of a function space to be homotopy equivalent. Zbl 1151.55006
Lupton, Gregory; Smith, Samuel Bruce
3
2008
Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences. Zbl 1112.55012
Lupton, Gregory; Smith, Samuel Bruce
11
2007
Rationalized evaluation subgroups of a map. II: Quillen models and adjoint maps. Zbl 1113.55007
Lupton, Gregory; Smith, Samuel Bruce
7
2007
The evaluation subgroup of a fibre inclusion. Zbl 1121.55011
Lupton, Gregory; Smith, Samuel Bruce
3
2007
Evaluation maps in rational homotopy. Zbl 1125.55006
Félix, Yves; Lupton, Gregory
2
2007
Rank of the fundamental group of any component of a function space. Zbl 1116.55006
Lupton, Gregory; Smith, Samuel Bruce
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
10
2004
Lusternik-Schnirelmann category. Zbl 1032.55001
Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel
111
2003
The rational Toomer invariant and certain elliptic spaces. Zbl 1041.55008
Lupton, Gregory
2
2002
Subgroups of the group of self-homotopy equivalences. Zbl 0982.55002
Arkowitz, Martin; Lupton, Gregory; Murillo, Aniceto
4
2001
Rational obstruction theory and rational homotopy sets. Zbl 0968.55005
Arkowitz, Martin; Lupton, Gregory
10
2000
Variations on a conjecture of Halperin. Zbl 0931.55007
Lupton, Gregory
10
1998
On the nilpotency of subgroups of self-homotopy equivalences. Zbl 0851.55017
Arkowitz, Martin; Lupton, Gregory
4
1996
Fixed points and powers of self-maps of \(H\)-spaces. Zbl 0867.55011
Lupton, Gregory; Oprea, John
2
1996
Cohomologically symplectic spaces: Toral actions and the Gottlieb group. Zbl 0836.57019
Lupton, Gregory; Oprea, John
21
1995
On finiteness of subgroups of self-homotopy equivalences. Zbl 0830.55010
Arkowitz, Martin; Lupton, Gregory
8
1995
Equivalence classes of homotopy-associative comultiplications of finite complexes. Zbl 0862.57026
Arkowitz, Martin; Lupton, Gregory
7
1995
Symplectic manifolds and formality. Zbl 0789.55010
Lupton, Gregory; Oprea, John
11
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
10
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
6
1990
Intrinsic formality and certain types of algebras. Zbl 0697.55015
Lupton, Gregory
3
1990
all top 5

Cited by 245 Authors

20 Lupton, Gregory M.
16 Oprea, John F.
14 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, 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 Barmak, Jonathan Ariel
1 Baryshnikov, Yuliy M.
1 Basabe, Ibai
1 Beauchemin, N.
1 Ben El Krafi, Badr
1 Bianchi, Andrea
1 Błaszczyk, Zbigniew
1 Bolotov, Dmitry V.
1 Borghini, Eugenio
1 Cadavid-Aguilar, Natalia
1 Carrasco, Dante
1 Carrasquel, José
1 Cavalcanti, Gil Ramos
1 Cerami, Giovanna
1 Cho, Yong Seung
1 Cho, Yunhyung
1 Choi, Howon
...and 145 more Authors
all top 5

Cited in 78 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
7 Journal of Pure and Applied Algebra
4 Advances in Mathematics
4 Geometry & Topology
3 Journal of Geometry and Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 International Journal of Mathematics and Mathematical Sciences
2 Inventiones Mathematicae
2 Journal of the Mathematical Society of Japan
2 Manuscripta Mathematica
2 Mathematische Annalen
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 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

Citations by Year