Edit Profile (opens in new tab) Halperin, Stephen Compute Distance To: Compute Author ID: halperin.stephen Published as: Halperin, Stephen; Halperin, Steve; Halperin, S.; Halperin, Steven more...less 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 Co-Authors 16 single-authored 46 Félix, Yves 39 Thomas, Jean-Claude 5 Greub, Werner H. 5 Lemaire, Jean-Michel 4 Avramov, Luchezar L. 4 Grove, Karsten 3 Allday, Christopher 3 Tanré, Daniel 3 Vanstone, Ray 2 Friedlander, John Benjamin 2 Lehmann, Daniel 2 Stasheff, James D. 2 Toledo, Domingo 2 Vigué-Poirrier, Micheline 1 Anick, David J. 1 Bøgvad, Rikard 1 Dwyer, William G. 1 Foxby, Hans-Bjørn 1 Gómez-Tato, Antonio 1 Jacobsson, Carl 1 Kane, Richard M. 1 Kochman, Stanley O. 1 Levin, Gerson L. 1 Löfwall, Clas 1 Mahowald, Mark Edward 1 Selick, Paul S. 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 all top 5 Fields 79 Algebraic topology (55-XX) 30 Manifolds and cell complexes (57-XX) 22 Nonassociative rings and algebras (17-XX) 17 Commutative algebra (13-XX) 12 Associative rings and algebras (16-XX) 12 Differential geometry (53-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 3 Category theory; homological algebra (18-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 1,549 times in 924 Documents Cited by ▼ Year ▼ Rational homotopy theory. Zbl 0961.55002Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 128 2001 Connections, curvature, and cohomology. Vol. I: De Rham cohomology of manifolds and vector bundles. Zbl 0322.58001Greub, Werner; Halperin, Stephen; Vanstone, Ray 112 1972 Connections, curvature, and cohomology. Vol. III: Cohomology of principal bundles and homogeneous spaces. Zbl 0372.57001Greub, Werner; Halperin, Stephen; Vanstone, Ray 103 1976 Obstructions to homotopy equivalences. Zbl 0408.55009Halperin, Stephen; Stasheff, James 98 1979 Lectures on minimal models. Zbl 0536.55003Halperin, S. 89 1983 Connections, curvature, and cohomology. Vol. II: Lie groups, principal bundles, and characteristic classes. Zbl 0335.57001Greub, Werner; Halperin, Stephen; Vanstone, Ray. 82 1973 Rational L.-S. category and its applications. Zbl 0508.55004Felix, Yves; Halperin, Stephen 77 1982 Finiteness in the minimal models of Sullivan. Zbl 0364.55014Halperin, Stephen 70 1977 Gorenstein spaces. Zbl 0659.57011Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 60 1988 Differential graded algebras in topology. Zbl 0868.55016Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 40 1995 Rational homotopy theory II. Zbl 1325.55001Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 33 2015 Suites inertes dans les algèbres de Lie graduées. (“Autopsie d’un meurtre. II”). Zbl 0655.55004Halperin, S.; Lemaire, J.-M. 33 1987 Stiefel-Whitney homology classes. Zbl 0255.57007Halperin, Stephen; Toledo, Domingo 33 1972 Notions of category in differential algebra. Zbl 0656.55003Halperin, S.; Lemaire, J.-M. 30 1988 The radical of the homotopy Lie algebra. Zbl 0654.55011Felix, Yves; Halperin, Stephen; Jacobsson, Carl; Löfwall, Clas; Thomas, Jean-Claude 30 1988 Dupin hypersurfaces, group actions and the double mapping cylinder. Zbl 0637.53075Grove, Karsten; Halperin, Stephen 29 1987 Adams’ cobar equivalence. Zbl 0765.55005Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 27 1992 Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010Avramov, Luchezar; Halperin, Stephen 26 1986 Mod \(p\) loop space homology. Zbl 0667.55007Félix, Yves; Halperin, Stephen; Lemaire, Jean-Michel; Thomas, Jean-Claude 26 1989 Universal enveloping algebras and loop space homology. Zbl 0769.57025Halperin, Stephen 25 1992 Rational fibrations, minimal models, and fibrings of homogeneous spaces. Zbl 0387.55010Halperin, Stephen 22 1978 An arithmetic characterization of the rational homotopy groups of certain spaces. Zbl 0396.55010Friedlander, John B.; Halperin, Stephen 22 1979 Contributions of rational homotopy theory to global problems in geometry. Zbl 0508.55013Grove, Karsten; Halperin, Stephen 18 1982 The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes. Zbl 0897.55001Félix, Yves; Halperin, Steve; Lemaire, Jean-Michel 17 1998 Differential algebra in its own rite. Zbl 0224.55027Stasheff, James; Halperin, Steve 17 1970 The homotopy Lie algebra for finite complexes. Zbl 0504.55005Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 16 1982 Elliptic Hopf algebras. Zbl 0755.57018Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 16 1991 The rational homotopy theory of certain path spaces with applications to geodesics. Zbl 0421.58007Grove, Karsten; Halperin, Stephen; Vigue-Poirrier, Micheline 15 1978 Lie group actions on spaces of finite rank. Zbl 0395.57024Allday, Christopher; Halperin, Stephen 15 1978 Hopf algebras of polynomial growth. Zbl 0676.16008Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 14 1989 The homology of a free loop space. Zbl 0666.55011Halperin, Stephen; Vigué-Poirrier, Micheline 13 1991 Rational homotopy and torus actions. Zbl 0562.57015Halperin, Stephen 12 1985 Formal spaces with finite-dimensional rational homotopy. Zbl 0489.55009Felix, Yves; Halperin, Stephen 12 1982 Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen 10 1985 Rational homotopy theory for non-simply connected spaces. Zbl 0939.55010Gómez-Tato, Antonio; Halperin, Stephen; Tanré, Daniel 10 2000 Homotopie filtrée et fibrés \(C^{\infty}\). Zbl 0679.55011Halperin, Stephen; Tanré, Daniel 10 1990 Ljusternik-Schnirelman category of skeleta. Zbl 1011.55004Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 8 2002 Elliptic spaces. Zbl 0726.55006Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 8 1991 Lectures on minimal models. Zbl 0505.55014Halperin, Stephen 7 1981 Torsion gaps in the homotopy of finite complexes. II. Zbl 0725.55009Halperin, Stephen 7 1991 Elliptic spaces. II. Zbl 0786.55006Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 7 1993 The non-vanishing of the deviations of a local ring. Zbl 0639.13011Halperin, Stephen 7 1987 Spaces whose rational homology and de Rham homotopy are both finite dimensional. Zbl 0546.55015Halperin, Stephen 6 1984 The product formula for Stiefel-Whitney homology classes. Zbl 0341.57016Halperin, Stephen; Toledo, Domingo 6 1975 Sur l’homotopie des espaces de catégorie 2. Zbl 0537.55012Halperin, S.; Thomas, J. C. 5 1984 L. S. catégorie et suite spectrale de Milnor-Moore. (Une nuit dans le train). Zbl 0538.55007Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 1983 Growth and Lie brackets in the homotopy Lie algebra. Zbl 1006.55008Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 2002 The category of a map and the grade of a module. Zbl 0773.55003Felix, Y.; Halperin, S.; Thomas, J.-C. 5 1992 Lie algebras of polynomial growth. Zbl 0755.57019Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 1991 On the non-vanishing of cotangent cohomology. Zbl 0624.13013Avramov, Luchezar; Halperin, Stephen 5 1987 Le complexe de Koszul en algèbre et topologie. (The Koszul complex in algebra and topology). Zbl 0625.57022Halperin, Stephen 5 1987 On a conjecture of Roos. Zbl 0644.13004Bøgvad, Rikard; Halperin, Stephen 4 1986 Loop space homology of spaces of LS category one and two. Zbl 0687.55004Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 4 1990 Sur certaines algèbres de Lie de dérivations. Zbl 0487.55005Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 3 1982 The fibre of a cell attachment. Zbl 0818.55003Halperin, Stephen; Lemaire, Jean-Michel 3 1995 Distinct representatives, varieties and rational homotopy. Zbl 0411.55010Friedlander, John; Halperin, Stephen 3 1979 Elliptic isometries, condition (C) and proper maps. Zbl 0726.53030Grove, Karsten; Halperin, Stephen 3 1991 High skeleta of CW complexes. Zbl 0607.55006Halperin, Stephen; Levin, Gerson 3 1986 Engel elements in the homotopy Lie algebra. Zbl 0737.17011Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 3 1991 Torsion primes in loop space homology. Zbl 1042.55005Felix, Y.; Halperin, S.; Thomas, J.-C. 3 2004 Torsion gaps in the homotopy of finite complexes. Zbl 0661.55009Halperin, Stephen 3 1988 Sullivan-deRham theory for rational Alexander-Spanier cohomology. Zbl 0556.55011Allday, Christopher; Halperin, Stephen 2 1984 On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009Avramov, Luchezar L.; Halperin, Stephen 2 1984 The Serre spectral sequence of a multiplicative fibration. Zbl 0978.55012Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 2001 On the growth of the homology of a free loop space. Zbl 1300.55016Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2013 An asymptotic formula for the ranks of homotopy groups. Zbl 1105.55009Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2006 Exponential growth of Lie algebras of finite global dimension. Zbl 1111.55008Felix, 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 1197.55006Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2009 Rational equivalence of fibrations with fibre G/K. Zbl 0439.55007Halperin, Stephen; Thomas, Jean Claude 2 1982 Rational homotopy theory via Sullivan models: a survey. Zbl 1383.55009Félix, Yves; Halperin, Steve 2 2017 Torsion in loop space homology. Zbl 0749.55003Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 1992 Hopf algebras and a counterexample to a conjecture of Anick. Zbl 0814.16036Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 1994 Cohomologies et classes caractéristiques des choux de Bruxelles. Zbl 0313.57007Halperin, Stephen; Lehmann, Daniel 2 1975 Primitive subspaces of Hopf algebras of finite depth. Zbl 0687.57019Halperin, Stephen 2 1990 The structure of \(\pi_*(\Omega S)\). Zbl 0546.55014Halperin, Stephen 1 1984 Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos. Zbl 0574.18008Anick, David J.; Halperin, Stephen 1 1985 The depth and LS category of a topological space. Zbl 1411.55003Félix, Yves; Halperin, Steve 1 2018 The structure of homotopy Lie algebras. Zbl 1234.55005Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 1 2009 Malcev completions, LS category, and depth. Zbl 1377.55009Félix, 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 0841.55009Félix, Y.; Halperin, S.; Thomas, J. C. 1 1993 The ranks of the homotopy groups of a space of finite LS category. Zbl 1125.55005Félix, 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 0634.55009Felix, Yves; Halperin, Stephen 1 1986 Graded Lie algebras with finite polydepth. Zbl 1066.17019Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 1 2003 The depth and LS category of a topological space. Zbl 1411.55003Félix, Yves; Halperin, Steve 1 2018 Rational homotopy theory via Sullivan models: a survey. Zbl 1383.55009Félix, Yves; Halperin, Steve 2 2017 Malcev completions, LS category, and depth. Zbl 1377.55009Félix, Yves; Halperin, Steve 1 2017 Rational homotopy theory II. Zbl 1325.55001Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 33 2015 On the growth of the homology of a free loop space. Zbl 1300.55016Félix, 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 1197.55006Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2009 The structure of homotopy Lie algebras. Zbl 1234.55005Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 1 2009 Exponential growth of Lie algebras of finite global dimension. Zbl 1111.55008Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2007 The ranks of the homotopy groups of a space of finite LS category. Zbl 1125.55005Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 1 2007 An asymptotic formula for the ranks of homotopy groups. Zbl 1105.55009Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2006 Torsion primes in loop space homology. Zbl 1042.55005Felix, Y.; Halperin, S.; Thomas, J.-C. 3 2004 Graded Lie algebras with finite polydepth. Zbl 1066.17019Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 1 2003 Ljusternik-Schnirelman category of skeleta. Zbl 1011.55004Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 8 2002 Growth and Lie brackets in the homotopy Lie algebra. Zbl 1006.55008Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 2002 Rational homotopy theory. Zbl 0961.55002Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 128 2001 The Serre spectral sequence of a multiplicative fibration. Zbl 0978.55012Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 2001 Rational homotopy theory for non-simply connected spaces. Zbl 0939.55010Gómez-Tato, Antonio; Halperin, Stephen; Tanré, Daniel 10 2000 The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes. Zbl 0897.55001Félix, 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 0868.55016Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 40 1995 The fibre of a cell attachment. Zbl 0818.55003Halperin, Stephen; Lemaire, Jean-Michel 3 1995 Hopf algebras and a counterexample to a conjecture of Anick. Zbl 0814.16036Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 1994 Elliptic spaces. II. Zbl 0786.55006Felix, 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 0841.55009Félix, Y.; Halperin, S.; Thomas, J. C. 1 1993 Adams’ cobar equivalence. Zbl 0765.55005Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 27 1992 Universal enveloping algebras and loop space homology. Zbl 0769.57025Halperin, Stephen 25 1992 The category of a map and the grade of a module. Zbl 0773.55003Felix, Y.; Halperin, S.; Thomas, J.-C. 5 1992 Torsion in loop space homology. Zbl 0749.55003Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 1992 Elliptic Hopf algebras. Zbl 0755.57018Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 16 1991 The homology of a free loop space. Zbl 0666.55011Halperin, Stephen; Vigué-Poirrier, Micheline 13 1991 Elliptic spaces. Zbl 0726.55006Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 8 1991 Torsion gaps in the homotopy of finite complexes. II. Zbl 0725.55009Halperin, Stephen 7 1991 Lie algebras of polynomial growth. Zbl 0755.57019Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 1991 Elliptic isometries, condition (C) and proper maps. Zbl 0726.53030Grove, Karsten; Halperin, Stephen 3 1991 Engel elements in the homotopy Lie algebra. Zbl 0737.17011Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 3 1991 Homotopie filtrée et fibrés \(C^{\infty}\). Zbl 0679.55011Halperin, Stephen; Tanré, Daniel 10 1990 Loop space homology of spaces of LS category one and two. Zbl 0687.55004Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 4 1990 Primitive subspaces of Hopf algebras of finite depth. Zbl 0687.57019Halperin, Stephen 2 1990 Mod \(p\) loop space homology. Zbl 0667.55007Félix, Yves; Halperin, Stephen; Lemaire, Jean-Michel; Thomas, Jean-Claude 26 1989 Hopf algebras of polynomial growth. Zbl 0676.16008Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 14 1989 Gorenstein spaces. Zbl 0659.57011Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 60 1988 Notions of category in differential algebra. Zbl 0656.55003Halperin, S.; Lemaire, J.-M. 30 1988 The radical of the homotopy Lie algebra. Zbl 0654.55011Felix, Yves; Halperin, Stephen; Jacobsson, Carl; Löfwall, Clas; Thomas, Jean-Claude 30 1988 Torsion gaps in the homotopy of finite complexes. Zbl 0661.55009Halperin, Stephen 3 1988 Suites inertes dans les algèbres de Lie graduées. (“Autopsie d’un meurtre. II”). Zbl 0655.55004Halperin, S.; Lemaire, J.-M. 33 1987 Dupin hypersurfaces, group actions and the double mapping cylinder. Zbl 0637.53075Grove, Karsten; Halperin, Stephen 29 1987 The non-vanishing of the deviations of a local ring. Zbl 0639.13011Halperin, Stephen 7 1987 On the non-vanishing of cotangent cohomology. Zbl 0624.13013Avramov, Luchezar; Halperin, Stephen 5 1987 Le complexe de Koszul en algèbre et topologie. (The Koszul complex in algebra and topology). Zbl 0625.57022Halperin, Stephen 5 1987 Through the looking glass: A dictionary between rational homotopy theory and local algebra. Zbl 0588.13010Avramov, Luchezar; Halperin, Stephen 26 1986 On a conjecture of Roos. Zbl 0644.13004Bøgvad, Rikard; Halperin, Stephen 4 1986 High skeleta of CW complexes. Zbl 0607.55006Halperin, Stephen; Levin, Gerson 3 1986 The rational homotopy of spaces with nonzero Euler-Poincaré characteristic. Zbl 0634.55009Felix, Yves; Halperin, Stephen 1 1986 Rational homotopy and torus actions. Zbl 0562.57015Halperin, Stephen 12 1985 Descent and ascent of local properties along homomorphisms of finite flat dimension. Zbl 0603.13007Avramov, Luchezar L.; Foxby, Hans-Bjørn; Halperin, Stephen 10 1985 Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos. Zbl 0574.18008Anick, David J.; Halperin, Stephen 1 1985 Spaces whose rational homology and de Rham homotopy are both finite dimensional. Zbl 0546.55015Halperin, Stephen 6 1984 Sur l’homotopie des espaces de catégorie 2. Zbl 0537.55012Halperin, S.; Thomas, J. C. 5 1984 Sullivan-deRham theory for rational Alexander-Spanier cohomology. Zbl 0556.55011Allday, Christopher; Halperin, Stephen 2 1984 On the structure of the homotopy Lie algebra of a local ring. Zbl 0557.13009Avramov, Luchezar L.; Halperin, Stephen 2 1984 The structure of \(\pi_*(\Omega S)\). Zbl 0546.55014Halperin, Stephen 1 1984 Lectures on minimal models. Zbl 0536.55003Halperin, S. 89 1983 L. S. catégorie et suite spectrale de Milnor-Moore. (Une nuit dans le train). Zbl 0538.55007Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 1983 Rational L.-S. category and its applications. Zbl 0508.55004Felix, Yves; Halperin, Stephen 77 1982 Contributions of rational homotopy theory to global problems in geometry. Zbl 0508.55013Grove, Karsten; Halperin, Stephen 18 1982 The homotopy Lie algebra for finite complexes. Zbl 0504.55005Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 16 1982 Formal spaces with finite-dimensional rational homotopy. Zbl 0489.55009Felix, Yves; Halperin, Stephen 12 1982 Sur certaines algèbres de Lie de dérivations. Zbl 0487.55005Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 3 1982 Rational equivalence of fibrations with fibre G/K. Zbl 0439.55007Halperin, Stephen; Thomas, Jean Claude 2 1982 Lectures on minimal models. Zbl 0505.55014Halperin, Stephen 7 1981 Obstructions to homotopy equivalences. Zbl 0408.55009Halperin, Stephen; Stasheff, James 98 1979 An arithmetic characterization of the rational homotopy groups of certain spaces. Zbl 0396.55010Friedlander, John B.; Halperin, Stephen 22 1979 Distinct representatives, varieties and rational homotopy. Zbl 0411.55010Friedlander, John; Halperin, Stephen 3 1979 Rational fibrations, minimal models, and fibrings of homogeneous spaces. Zbl 0387.55010Halperin, Stephen 22 1978 The rational homotopy theory of certain path spaces with applications to geodesics. Zbl 0421.58007Grove, Karsten; Halperin, Stephen; Vigue-Poirrier, Micheline 15 1978 Lie group actions on spaces of finite rank. Zbl 0395.57024Allday, Christopher; Halperin, Stephen 15 1978 Finiteness in the minimal models of Sullivan. Zbl 0364.55014Halperin, Stephen 70 1977 Connections, curvature, and cohomology. Vol. III: Cohomology of principal bundles and homogeneous spaces. Zbl 0372.57001Greub, Werner; Halperin, Stephen; Vanstone, Ray 103 1976 The product formula for Stiefel-Whitney homology classes. Zbl 0341.57016Halperin, Stephen; Toledo, Domingo 6 1975 Cohomologies et classes caractéristiques des choux de Bruxelles. Zbl 0313.57007Halperin, Stephen; Lehmann, Daniel 2 1975 Connections, curvature, and cohomology. Vol. II: Lie groups, principal bundles, and characteristic classes. Zbl 0335.57001Greub, Werner; Halperin, Stephen; Vanstone, Ray. 82 1973 Connections, curvature, and cohomology. Vol. I: De Rham cohomology of manifolds and vector bundles. Zbl 0322.58001Greub, Werner; Halperin, Stephen; Vanstone, Ray 112 1972 Stiefel-Whitney homology classes. Zbl 0255.57007Halperin, Stephen; Toledo, Domingo 33 1972 Differential algebra in its own rite. Zbl 0224.55027Stasheff, James; Halperin, Steve 17 1970 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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