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Author ID: halperin.stephen Recent zbMATH articles by "Halperin, Stephen"
Published as: Halperin, Stephen; Halperin, Steve; Halperin, S.; Halperin, Steven
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 97 Publications since 1970, including 5 Books
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 26 Co-Authors with 82 Joint Publications
469 Co-Co-Authors
all top 5

Serials

7 Transactions of the American Mathematical Society
5 Journal of Pure and Applied Algebra
4 Topology
3 Annales de l’Institut Fourier
3 Commentarii Mathematici Helvetici
3 Journal of Algebra
3 Mathematica Scandinavica
3 Proceedings of the American Mathematical Society
2 Advances in Mathematics
2 Canadian Journal of Mathematics
2 Collectanea Mathematica
2 Publications Mathématiques
2 Inventiones Mathematicae
2 Journal of Differential Geometry
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Annalen
2 Topology and its Applications
2 Annals of Mathematics. Second Series
1 Houston Journal of Mathematics
1 Israel Journal of Mathematics
1 Acta Mathematica
1 American Journal of Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Illinois Journal of Mathematics
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 L’Enseignement Mathématique. 2e Série
1 Bulletin of the American Mathematical Society. New Series
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Bulletin de la Société Mathématique de Belgique. Série A
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Expositiones Mathematicae
1 Rapport. Séminaire de Mathématique. Nouvelle Série
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Homology, Homotopy and Applications
1 Pure and Applied Mathematics Quarterly
1 Fields Institute Communications
1 Graduate Texts in Mathematics
1 Journal of Homotopy and Related Structures
1 ICCM Notices

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 1,549 times in 924 Documents Cited by Year
Rational homotopy theory. Zbl 0961.55002
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
128
2001
Connections, curvature, and cohomology. Vol. I: De Rham cohomology of manifolds and vector bundles. Zbl 0322.58001
Greub, Werner; Halperin, Stephen; Vanstone, Ray
112
1972
Connections, curvature, and cohomology. Vol. III: Cohomology of principal bundles and homogeneous spaces. Zbl 0372.57001
Greub, Werner; Halperin, Stephen; Vanstone, Ray
103
1976
Obstructions to homotopy equivalences. Zbl 0408.55009
Halperin, Stephen; Stasheff, James
98
1979
Lectures on minimal models. Zbl 0536.55003
Halperin, S.
89
1983
Connections, curvature, and cohomology. Vol. II: Lie groups, principal bundles, and characteristic classes. Zbl 0335.57001
Greub, Werner; Halperin, Stephen; Vanstone, Ray.
82
1973
Rational L.-S. category and its applications. Zbl 0508.55004
Felix, Yves; Halperin, Stephen
77
1982
Finiteness in the minimal models of Sullivan. Zbl 0364.55014
Halperin, Stephen
70
1977
Gorenstein spaces. Zbl 0659.57011
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
60
1988
Differential graded algebras in topology. Zbl 0868.55016
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude
40
1995
Rational homotopy theory II. Zbl 1325.55001
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
33
2015
Suites inertes dans les algèbres de Lie graduées. (“Autopsie d’un meurtre. II”). Zbl 0655.55004
Halperin, S.; Lemaire, J.-M.
33
1987
Stiefel-Whitney homology classes. Zbl 0255.57007
Halperin, Stephen; Toledo, Domingo
33
1972
Notions of category in differential algebra. Zbl 0656.55003
Halperin, S.; Lemaire, J.-M.
30
1988
The radical of the homotopy Lie algebra. Zbl 0654.55011
Felix, Yves; Halperin, Stephen; Jacobsson, Carl; Löfwall, Clas; Thomas, Jean-Claude
30
1988
Dupin hypersurfaces, group actions and the double mapping cylinder. Zbl 0637.53075
Grove, Karsten; Halperin, Stephen
29
1987
Adams’ cobar equivalence. Zbl 0765.55005
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
27
1992
Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010
Avramov, Luchezar; Halperin, Stephen
26
1986
Mod \(p\) loop space homology. Zbl 0667.55007
Félix, Yves; Halperin, Stephen; Lemaire, Jean-Michel; Thomas, Jean-Claude
26
1989
Universal enveloping algebras and loop space homology. Zbl 0769.57025
Halperin, Stephen
25
1992
Rational fibrations, minimal models, and fibrings of homogeneous spaces. Zbl 0387.55010
Halperin, Stephen
22
1978
An arithmetic characterization of the rational homotopy groups of certain spaces. Zbl 0396.55010
Friedlander, John B.; Halperin, Stephen
22
1979
Contributions of rational homotopy theory to global problems in geometry. Zbl 0508.55013
Grove, Karsten; Halperin, Stephen
18
1982
The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes. Zbl 0897.55001
Félix, Yves; Halperin, Steve; Lemaire, Jean-Michel
17
1998
Differential algebra in its own rite. Zbl 0224.55027
Stasheff, James; Halperin, Steve
17
1970
The homotopy Lie algebra for finite complexes. Zbl 0504.55005
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
16
1982
Elliptic Hopf algebras. Zbl 0755.57018
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
16
1991
The rational homotopy theory of certain path spaces with applications to geodesics. Zbl 0421.58007
Grove, Karsten; Halperin, Stephen; Vigue-Poirrier, Micheline
15
1978
Lie group actions on spaces of finite rank. Zbl 0395.57024
Allday, Christopher; Halperin, Stephen
15
1978
Hopf algebras of polynomial growth. Zbl 0676.16008
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
14
1989
The homology of a free loop space. Zbl 0666.55011
Halperin, Stephen; Vigué-Poirrier, Micheline
13
1991
Rational homotopy and torus actions. Zbl 0562.57015
Halperin, Stephen
12
1985
Formal spaces with finite-dimensional rational homotopy. Zbl 0489.55009
Felix, Yves; Halperin, Stephen
12
1982
Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007
Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen
10
1985
Rational homotopy theory for non-simply connected spaces. Zbl 0939.55010
Gómez-Tato, Antonio; Halperin, Stephen; Tanré, Daniel
10
2000
Homotopie filtrée et fibrés \(C^{\infty}\). Zbl 0679.55011
Halperin, Stephen; Tanré, Daniel
10
1990
Ljusternik-Schnirelman category of skeleta. Zbl 1011.55004
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude
8
2002
Elliptic spaces. Zbl 0726.55006
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
8
1991
Lectures on minimal models. Zbl 0505.55014
Halperin, Stephen
7
1981
Torsion gaps in the homotopy of finite complexes. II. Zbl 0725.55009
Halperin, Stephen
7
1991
Elliptic spaces. II. Zbl 0786.55006
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
7
1993
The non-vanishing of the deviations of a local ring. Zbl 0639.13011
Halperin, Stephen
7
1987
Spaces whose rational homology and de Rham homotopy are both finite dimensional. Zbl 0546.55015
Halperin, Stephen
6
1984
The product formula for Stiefel-Whitney homology classes. Zbl 0341.57016
Halperin, Stephen; Toledo, Domingo
6
1975
Sur l’homotopie des espaces de catégorie 2. Zbl 0537.55012
Halperin, S.; Thomas, J. C.
5
1984
L. S. catégorie et suite spectrale de Milnor-Moore. (Une nuit dans le train). Zbl 0538.55007
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
5
1983
Growth and Lie brackets in the homotopy Lie algebra. Zbl 1006.55008
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
5
2002
The category of a map and the grade of a module. Zbl 0773.55003
Felix, Y.; Halperin, S.; Thomas, J.-C.
5
1992
Lie algebras of polynomial growth. Zbl 0755.57019
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
5
1991
On the non-vanishing of cotangent cohomology. Zbl 0624.13013
Avramov, Luchezar; Halperin, Stephen
5
1987
Le complexe de Koszul en algèbre et topologie. (The Koszul complex in algebra and topology). Zbl 0625.57022
Halperin, Stephen
5
1987
On a conjecture of Roos. Zbl 0644.13004
Bøgvad, Rikard; Halperin, Stephen
4
1986
Loop space homology of spaces of LS category one and two. Zbl 0687.55004
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
4
1990
Sur certaines algèbres de Lie de dérivations. Zbl 0487.55005
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
3
1982
The fibre of a cell attachment. Zbl 0818.55003
Halperin, Stephen; Lemaire, Jean-Michel
3
1995
Distinct representatives, varieties and rational homotopy. Zbl 0411.55010
Friedlander, John; Halperin, Stephen
3
1979
Elliptic isometries, condition (C) and proper maps. Zbl 0726.53030
Grove, Karsten; Halperin, Stephen
3
1991
High skeleta of CW complexes. Zbl 0607.55006
Halperin, Stephen; Levin, Gerson
3
1986
Engel elements in the homotopy Lie algebra. Zbl 0737.17011
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
3
1991
Torsion primes in loop space homology. Zbl 1042.55005
Felix, Y.; Halperin, S.; Thomas, J.-C.
3
2004
Torsion gaps in the homotopy of finite complexes. Zbl 0661.55009
Halperin, Stephen
3
1988
Sullivan-deRham theory for rational Alexander-Spanier cohomology. Zbl 0556.55011
Allday, Christopher; Halperin, Stephen
2
1984
On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009
Avramov, Luchezar L.; Halperin, Stephen
2
1984
The Serre spectral sequence of a multiplicative fibration. Zbl 0978.55012
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
2
2001
On the growth of the homology of a free loop space. Zbl 1300.55016
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
2
2013
An asymptotic formula for the ranks of homotopy groups. Zbl 1105.55009
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude
2
2006
Exponential growth of Lie algebras of finite global dimension. Zbl 1111.55008
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude
2
2007
Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex. Zbl 1197.55006
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
2
2009
Rational equivalence of fibrations with fibre G/K. Zbl 0439.55007
Halperin, Stephen; Thomas, Jean Claude
2
1982
Rational homotopy theory via Sullivan models: a survey. Zbl 1383.55009
Félix, Yves; Halperin, Steve
2
2017
Torsion in loop space homology. Zbl 0749.55003
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
2
1992
Hopf algebras and a counterexample to a conjecture of Anick. Zbl 0814.16036
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
2
1994
Cohomologies et classes caractéristiques des choux de Bruxelles. Zbl 0313.57007
Halperin, Stephen; Lehmann, Daniel
2
1975
Primitive subspaces of Hopf algebras of finite depth. Zbl 0687.57019
Halperin, Stephen
2
1990
The structure of \(\pi_*(\Omega S)\). Zbl 0546.55014
Halperin, Stephen
1
1984
Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos. Zbl 0574.18008
Anick, David J.; Halperin, Stephen
1
1985
The depth and LS category of a topological space. Zbl 1411.55003
Félix, Yves; Halperin, Steve
1
2018
The structure of homotopy Lie algebras. Zbl 1234.55005
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
1
2009
Malcev completions, LS category, and depth. Zbl 1377.55009
Félix, Yves; Halperin, Steve
1
2017
Growth of homotopy groups of even degree of a simply connected \(CW\) complex. (Croissance des groupes d’homotopie de degré pair d’un \(CW\) complexe 1-connexe.) Zbl 0841.55009
Félix, Y.; Halperin, S.; Thomas, J. C.
1
1993
The ranks of the homotopy groups of a space of finite LS category. Zbl 1125.55005
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
1
2007
Stable and unstable homotopy. Proceedings of workshops held during 1996 at the Fields Institute, Waterloo, Canada. Zbl 0890.00047
1
1998
The rational homotopy of spaces with nonzero Euler-Poincaré characteristic. Zbl 0634.55009
Felix, Yves; Halperin, Stephen
1
1986
Graded Lie algebras with finite polydepth. Zbl 1066.17019
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
1
2003
The depth and LS category of a topological space. Zbl 1411.55003
Félix, Yves; Halperin, Steve
1
2018
Rational homotopy theory via Sullivan models: a survey. Zbl 1383.55009
Félix, Yves; Halperin, Steve
2
2017
Malcev completions, LS category, and depth. Zbl 1377.55009
Félix, Yves; Halperin, Steve
1
2017
Rational homotopy theory II. Zbl 1325.55001
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
33
2015
On the growth of the homology of a free loop space. Zbl 1300.55016
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
2
2013
Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex. Zbl 1197.55006
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
2
2009
The structure of homotopy Lie algebras. Zbl 1234.55005
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
1
2009
Exponential growth of Lie algebras of finite global dimension. Zbl 1111.55008
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude
2
2007
The ranks of the homotopy groups of a space of finite LS category. Zbl 1125.55005
Félix, Yves; Halperin, Steve; Thomas, Jean-Claude
1
2007
An asymptotic formula for the ranks of homotopy groups. Zbl 1105.55009
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude
2
2006
Torsion primes in loop space homology. Zbl 1042.55005
Felix, Y.; Halperin, S.; Thomas, J.-C.
3
2004
Graded Lie algebras with finite polydepth. Zbl 1066.17019
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
1
2003
Ljusternik-Schnirelman category of skeleta. Zbl 1011.55004
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude
8
2002
Growth and Lie brackets in the homotopy Lie algebra. Zbl 1006.55008
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
5
2002
Rational homotopy theory. Zbl 0961.55002
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
128
2001
The Serre spectral sequence of a multiplicative fibration. Zbl 0978.55012
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
2
2001
Rational homotopy theory for non-simply connected spaces. Zbl 0939.55010
Gómez-Tato, Antonio; Halperin, Stephen; Tanré, Daniel
10
2000
The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes. Zbl 0897.55001
Félix, Yves; Halperin, Steve; Lemaire, Jean-Michel
17
1998
Stable and unstable homotopy. Proceedings of workshops held during 1996 at the Fields Institute, Waterloo, Canada. Zbl 0890.00047
1
1998
Differential graded algebras in topology. Zbl 0868.55016
Felix, Yves; Halperin, Steve; Thomas, Jean-Claude
40
1995
The fibre of a cell attachment. Zbl 0818.55003
Halperin, Stephen; Lemaire, Jean-Michel
3
1995
Hopf algebras and a counterexample to a conjecture of Anick. Zbl 0814.16036
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
2
1994
Elliptic spaces. II. Zbl 0786.55006
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
7
1993
Growth of homotopy groups of even degree of a simply connected \(CW\) complex. (Croissance des groupes d’homotopie de degré pair d’un \(CW\) complexe 1-connexe.) Zbl 0841.55009
Félix, Y.; Halperin, S.; Thomas, J. C.
1
1993
Adams’ cobar equivalence. Zbl 0765.55005
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
27
1992
Universal enveloping algebras and loop space homology. Zbl 0769.57025
Halperin, Stephen
25
1992
The category of a map and the grade of a module. Zbl 0773.55003
Felix, Y.; Halperin, S.; Thomas, J.-C.
5
1992
Torsion in loop space homology. Zbl 0749.55003
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
2
1992
Elliptic Hopf algebras. Zbl 0755.57018
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
16
1991
The homology of a free loop space. Zbl 0666.55011
Halperin, Stephen; Vigué-Poirrier, Micheline
13
1991
Elliptic spaces. Zbl 0726.55006
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
8
1991
Torsion gaps in the homotopy of finite complexes. II. Zbl 0725.55009
Halperin, Stephen
7
1991
Lie algebras of polynomial growth. Zbl 0755.57019
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
5
1991
Elliptic isometries, condition (C) and proper maps. Zbl 0726.53030
Grove, Karsten; Halperin, Stephen
3
1991
Engel elements in the homotopy Lie algebra. Zbl 0737.17011
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
3
1991
Homotopie filtrée et fibrés \(C^{\infty}\). Zbl 0679.55011
Halperin, Stephen; Tanré, Daniel
10
1990
Loop space homology of spaces of LS category one and two. Zbl 0687.55004
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
4
1990
Primitive subspaces of Hopf algebras of finite depth. Zbl 0687.57019
Halperin, Stephen
2
1990
Mod \(p\) loop space homology. Zbl 0667.55007
Félix, Yves; Halperin, Stephen; Lemaire, Jean-Michel; Thomas, Jean-Claude
26
1989
Hopf algebras of polynomial growth. Zbl 0676.16008
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
14
1989
Gorenstein spaces. Zbl 0659.57011
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
60
1988
Notions of category in differential algebra. Zbl 0656.55003
Halperin, S.; Lemaire, J.-M.
30
1988
The radical of the homotopy Lie algebra. Zbl 0654.55011
Felix, Yves; Halperin, Stephen; Jacobsson, Carl; Löfwall, Clas; Thomas, Jean-Claude
30
1988
Torsion gaps in the homotopy of finite complexes. Zbl 0661.55009
Halperin, Stephen
3
1988
Suites inertes dans les algèbres de Lie graduées. (“Autopsie d’un meurtre. II”). Zbl 0655.55004
Halperin, S.; Lemaire, J.-M.
33
1987
Dupin hypersurfaces, group actions and the double mapping cylinder. Zbl 0637.53075
Grove, Karsten; Halperin, Stephen
29
1987
The non-vanishing of the deviations of a local ring. Zbl 0639.13011
Halperin, Stephen
7
1987
On the non-vanishing of cotangent cohomology. Zbl 0624.13013
Avramov, Luchezar; Halperin, Stephen
5
1987
Le complexe de Koszul en algèbre et topologie. (The Koszul complex in algebra and topology). Zbl 0625.57022
Halperin, Stephen
5
1987
Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010
Avramov, Luchezar; Halperin, Stephen
26
1986
On a conjecture of Roos. Zbl 0644.13004
Bøgvad, Rikard; Halperin, Stephen
4
1986
High skeleta of CW complexes. Zbl 0607.55006
Halperin, Stephen; Levin, Gerson
3
1986
The rational homotopy of spaces with nonzero Euler-Poincaré characteristic. Zbl 0634.55009
Felix, Yves; Halperin, Stephen
1
1986
Rational homotopy and torus actions. Zbl 0562.57015
Halperin, Stephen
12
1985
Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007
Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen
10
1985
Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos. Zbl 0574.18008
Anick, David J.; Halperin, Stephen
1
1985
Spaces whose rational homology and de Rham homotopy are both finite dimensional. Zbl 0546.55015
Halperin, Stephen
6
1984
Sur l’homotopie des espaces de catégorie 2. Zbl 0537.55012
Halperin, S.; Thomas, J. C.
5
1984
Sullivan-deRham theory for rational Alexander-Spanier cohomology. Zbl 0556.55011
Allday, Christopher; Halperin, Stephen
2
1984
On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009
Avramov, Luchezar L.; Halperin, Stephen
2
1984
The structure of \(\pi_*(\Omega S)\). Zbl 0546.55014
Halperin, Stephen
1
1984
Lectures on minimal models. Zbl 0536.55003
Halperin, S.
89
1983
L. S. catégorie et suite spectrale de Milnor-Moore. (Une nuit dans le train). Zbl 0538.55007
Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude
5
1983
Rational L.-S. category and its applications. Zbl 0508.55004
Felix, Yves; Halperin, Stephen
77
1982
Contributions of rational homotopy theory to global problems in geometry. Zbl 0508.55013
Grove, Karsten; Halperin, Stephen
18
1982
The homotopy Lie algebra for finite complexes. Zbl 0504.55005
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
16
1982
Formal spaces with finite-dimensional rational homotopy. Zbl 0489.55009
Felix, Yves; Halperin, Stephen
12
1982
Sur certaines algèbres de Lie de dérivations. Zbl 0487.55005
Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude
3
1982
Rational equivalence of fibrations with fibre G/K. Zbl 0439.55007
Halperin, Stephen; Thomas, Jean Claude
2
1982
Lectures on minimal models. Zbl 0505.55014
Halperin, Stephen
7
1981
Obstructions to homotopy equivalences. Zbl 0408.55009
Halperin, Stephen; Stasheff, James
98
1979
An arithmetic characterization of the rational homotopy groups of certain spaces. Zbl 0396.55010
Friedlander, John B.; Halperin, Stephen
22
1979
Distinct representatives, varieties and rational homotopy. Zbl 0411.55010
Friedlander, John; Halperin, Stephen
3
1979
Rational fibrations, minimal models, and fibrings of homogeneous spaces. Zbl 0387.55010
Halperin, Stephen
22
1978
The rational homotopy theory of certain path spaces with applications to geodesics. Zbl 0421.58007
Grove, Karsten; Halperin, Stephen; Vigue-Poirrier, Micheline
15
1978
Lie group actions on spaces of finite rank. Zbl 0395.57024
Allday, Christopher; Halperin, Stephen
15
1978
Finiteness in the minimal models of Sullivan. Zbl 0364.55014
Halperin, Stephen
70
1977
Connections, curvature, and cohomology. Vol. III: Cohomology of principal bundles and homogeneous spaces. Zbl 0372.57001
Greub, Werner; Halperin, Stephen; Vanstone, Ray
103
1976
The product formula for Stiefel-Whitney homology classes. Zbl 0341.57016
Halperin, Stephen; Toledo, Domingo
6
1975
Cohomologies et classes caractéristiques des choux de Bruxelles. Zbl 0313.57007
Halperin, Stephen; Lehmann, Daniel
2
1975
Connections, curvature, and cohomology. Vol. II: Lie groups, principal bundles, and characteristic classes. Zbl 0335.57001
Greub, Werner; Halperin, Stephen; Vanstone, Ray.
82
1973
Connections, curvature, and cohomology. Vol. I: De Rham cohomology of manifolds and vector bundles. Zbl 0322.58001
Greub, Werner; Halperin, Stephen; Vanstone, Ray
112
1972
Stiefel-Whitney homology classes. Zbl 0255.57007
Halperin, Stephen; Toledo, Domingo
33
1972
Differential algebra in its own rite. Zbl 0224.55027
Stasheff, James; Halperin, Steve
17
1970
all top 5

Cited by 824 Authors

57 Félix, Yves
39 Halperin, Stephen
39 Thomas, Jean-Claude
22 Murillo-Mas, Aniceto
16 Papadima, Ștefan
16 Yamaguchi, Toshihiro
15 Jessup, Barry
15 Tanré, Daniel
14 Kuribayashi, Katsuhiko
14 Lupton, Gregory M.
12 Vigué-Poirrier, Micheline
11 Amann, Manuel
11 Buijs, Urtzi
11 Gatsinzi, Jean-Baptiste
10 Oprea, John F.
9 Avramov, Luchezar L.
9 Lambrechts, Pascal
9 Smith, Samuel Bruce
8 Goertsches, Oliver
8 Grove, Karsten
8 Mao, XueFeng
8 Markl, Martin
8 Menichi, Luc
8 Ndombol, Bitjong
8 Stanley, Donald
7 Hess, Kathryn P.
7 Lemaire, Jean-Michel
7 Muñoz Velázquez, Vicente
7 Saneblidze, Samson
7 Suciu, Alexander I.
6 Bazzoni, Giovanni
6 Cirici, Joana
6 Fernández Rodríguez, Marisa
6 Iliev, Bozhidar Zakhariev
6 Munkholm, Hans Jørgen
6 Parent, Paul-Eugène
6 Yokura, Shoji
5 Chataur, David
5 Golasiński, Marek
5 Greenlees, John P. C.
5 He, Jiwei
5 Paternain, Gabriel Pedro
5 Sather-Wagstaff, Keri
5 Scheerer, Hans
5 Vandembroucq, Lucile
4 Allday, Christopher
4 Anick, David J.
4 Beben, Piotr
4 Benkhalifa, Mahmoud
4 Berglund, Alexander
4 Cairns, Grant
4 Costoya, Cristina
4 Dubois-Violette, Michel
4 Dupont, Nicolas
4 Foxby, Hans-Bjørn
4 Frankild, Anders J.
4 Ge, Jianquan
4 Hilali, Mohamed Rachid
4 Iyengar, Srikanth B.
4 Kadeishvili, Tornike V.
4 Kennard, Lee
4 Kubarski, Jan
4 Matsui, Akinori
4 Naito, Takahito
4 Nigsch, Eduard Albert
4 Pollitz, Josh
4 Radeschi, Marco
4 Roig, Agustí
4 Saralegi-Aranguren, Martintxo
4 Sardanashvily, Gennadi A.
4 Sati, Hisham
4 Stasheff, James D.
4 Wu, Quanshui S.
4 Zeinalian, Mahmoud
3 Aubry, Marc
3 Benson, David John
3 Biswas, Indranil
3 Brasselet, Jean-Paul
3 Briggs, Benjamin
3 Bubenik, Peter
3 Carlson, Jeffrey Daniel
3 Chen, Kuo-Tsai
3 Cuvilliez, Maxence
3 Fiorenza, Domenico
3 Forger, Michael
3 Franz, Matthias
3 Garvín, Antonio
3 Goldstein, Richard Z.
3 Hain, Richard M.
3 Jørgensen, Peter Bjørn
3 Kahl, Thomas
3 Kapovitch, Vitali
3 Kirkman, Ellen E.
3 Lechuga, Luis
3 Lecomte, Pierre B. A.
3 Levi, Ran
3 Mamouni, My Ismail
3 Manin, Fedor
3 McCrory, Clint G.
3 Moore, W. Frank
...and 724 more Authors
all top 5

Cited in 174 Serials

91 Journal of Pure and Applied Algebra
67 Transactions of the American Mathematical Society
54 Proceedings of the American Mathematical Society
37 Topology and its Applications
33 Annales de l’Institut Fourier
28 Mathematische Zeitschrift
28 Algebraic & Geometric Topology
26 Journal of Algebra
25 Manuscripta Mathematica
24 Mathematische Annalen
23 Advances in Mathematics
19 Communications in Mathematical Physics
15 Israel Journal of Mathematics
15 Journal of Homotopy and Related Structures
14 Duke Mathematical Journal
12 Inventiones Mathematicae
11 Journal of Geometry and Physics
10 Annals of Global Analysis and Geometry
10 International Journal of Geometric Methods in Modern Physics
9 Communications in Algebra
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Compositio Mathematica
8 Geometriae Dedicata
8 Differential Geometry and its Applications
7 Letters in Mathematical Physics
7 Indagationes Mathematicae. New Series
7 Journal of Mathematical Sciences (New York)
6 Publications Mathématiques
6 Forum Mathematicum
6 Journal of High Energy Physics
5 Bulletin de la Société Mathématique de France
5 Czechoslovak Mathematical Journal
5 Tôhoku Mathematical Journal. Second Series
5 Journal of the American Mathematical Society
5 Journal of Algebra and its Applications
5 Science China. Mathematics
4 General Relativity and Gravitation
4 Reports on Mathematical Physics
4 Acta Mathematica
4 Archiv der Mathematik
4 Journal of the Mathematical Society of Japan
4 Kodai Mathematical Journal
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Acta Mathematica Hungarica
4 The Journal of Geometric Analysis
4 Bulletin of the American Mathematical Society. New Series
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Documenta Mathematica
4 Central European Journal of Mathematics
4 Journal of Topology and Analysis
3 International Journal of Theoretical Physics
3 Journal of Mathematical Analysis and Applications
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Journal of Geometry
3 Memoirs of the American Mathematical Society
3 \(K\)-Theory
3 Revista Matemática Iberoamericana
3 International Journal of Mathematics
3 Geometric and Functional Analysis. GAFA
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Expositiones Mathematicae
3 Journal of Lie Theory
3 Selecta Mathematica. New Series
3 Annals of Mathematics. Second Series
3 Communications of the Korean Mathematical Society
3 Acta Mathematica Sinica. English Series
3 Bulletin of the American Mathematical Society
3 Proceedings of the Steklov Institute of Mathematics
3 Journal of Fixed Point Theory and Applications
3 Arabian Journal of Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Mathematical Notes
2 Periodica Mathematica Hungarica
2 Rocky Mountain Journal of Mathematics
2 Reviews in Mathematical Physics
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 International Journal of Mathematics and Mathematical Sciences
2 Integral Equations and Operator Theory
2 Journal of the London Mathematical Society. Second Series
2 Journal of Number Theory
2 Journal of Soviet Mathematics
2 Monatshefte für Mathematik
2 Proceedings of the London Mathematical Society. Third Series
2 Quaestiones Mathematicae
2 Ergodic Theory and Dynamical Systems
2 Chinese Annals of Mathematics. Series B
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Boletim da Sociedade Brasileira de Matemática. Nova Série
2 Journal of Algebraic Combinatorics
2 Georgian Mathematical Journal
2 Transformation Groups
2 Geometry & Topology
2 Communications in Contemporary Mathematics
2 Milan Journal of Mathematics
2 Mediterranean Journal of Mathematics
2 Frontiers of Mathematics in China
2 Journal of Noncommutative Geometry
...and 74 more Serials
all top 5

Cited in 45 Fields

519 Algebraic topology (55-XX)
271 Manifolds and cell complexes (57-XX)
211 Differential geometry (53-XX)
104 Associative rings and algebras (16-XX)
92 Global analysis, analysis on manifolds (58-XX)
91 Category theory; homological algebra (18-XX)
87 Nonassociative rings and algebras (17-XX)
75 Commutative algebra (13-XX)
66 Algebraic geometry (14-XX)
50 Quantum theory (81-XX)
34 Several complex variables and analytic spaces (32-XX)
33 Group theory and generalizations (20-XX)
28 Topological groups, Lie groups (22-XX)
26 Dynamical systems and ergodic theory (37-XX)
21 Functional analysis (46-XX)
14 \(K\)-theory (19-XX)
13 General topology (54-XX)
13 Relativity and gravitational theory (83-XX)
12 Number theory (11-XX)
10 Mechanics of particles and systems (70-XX)
9 Convex and discrete geometry (52-XX)
8 Combinatorics (05-XX)
8 Field theory and polynomials (12-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Partial differential equations (35-XX)
5 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Operator theory (47-XX)
3 Computer science (68-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
2 Biology and other natural sciences (92-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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