Stephen Halperin

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All published works

Action	Title	Year	Authors
+ PDF Chat	Rational homotopy via Sullivan models and enriched Lie algebras	2023	Yves Félix Stephen Halperin
+	Enriched Differential Lie Algebras in Topology	2022	Yves Félix Stephen Halperin
+	Enriched Lie algebras in topology, I	2021	Yves Félix Stephen Halperin
+ PDF Chat	The depth of a Riemann surface and of a right-angled Artin group	2019	Yves Félix Stephen Halperin
+	Aspherical completions and rationally inert elements	2019	Yves Félix Stephen Halperin
+	Sullivan completions	2019	Yves Félix Stephen Halperin
+	A note on Gorenstein spaces	2019	Yves Félix Stephen Halperin
+	Aspherical completions and rationally inert elements	2019	Yves Félix Stephen Halperin
+	Sullivan completions	2019	Yves Félix Stephen Halperin
+	The depth of a Riemann surface and of a right-angled Artin group	2018	Yves Félix Stephen Halperin
+	The depth and LS category of a topological space	2018	Yves Félix Stephen Halperin
+	A note on Gorenstein spaces	2018	Yves Félix Stephen Halperin
+	The depth of a Riemann surface and of a right-angled Artin group	2018	Yves Félix Stephen Halperin
+	Rational homotopy theory via Sullivan models: a survey	2017	Yves Félix Stephen Halperin
+ PDF Chat	On The Growth of the Homology of a Free Loop Space II	2017	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	Rational Homotopy Theory via Sullivan Models: A Survey	2017	Yves Félix Stephen Halperin
+	Rational homotopy theory via Sullivan models: a survey	2017	Yves Félix Stephen Halperin
+	Malcev completions, LS category, and depth	2016	Yves Félix Stephen Halperin
+	Rational Homotopy Theory II	2015	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The ranks of the homotopy groups of odd degree of a finite complex	2014	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Regularity in the growth of the loop space homology of a finite CW complex	2013	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	On the growth of the homology of a free loop space	2013	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	The Ranks of the Homotopy Groups of a Finite Dimensional Complex	2012	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	The structure of homotopy Lie algebras	2009	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	Exponential growth and an asymptotic formula for the ranks of homotopy groups of a finite 1-connected complex	2009	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Exponential growth of Lie algebras of finite global dimension	2007	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	An asymptotic formula for the ranks of homotopy groups	2006	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The ranks of the homotopy groups of a space of finite LS category	2006	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The spectrum of a graded Lie algebra	2006	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The even homotopy groups of a space of finite LS category	2006	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Exponential growth of Lie algebras of finite global dimension	2005	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	Graded Lie algebras with finite polydepth	2003	Yves Félix Stephen Halperin Joseph C. Thomas
+ PDF Chat	Torsion primes in loop space homology	2003	Yves Félix Stephen Halperin J. C. Thomas
+	Graded Lie algebras with finite polydepth	2003	Yves Félix Stephen Halperin J.-C. Thomas
+	Torsion primes in loop space homology	2003	Yves Félix Stephen Halperin J.-C. Thomas
+	Lusternik–Schnirelmann category of skeleta	2002	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	Growth and Lie brackets in the homotopy Lie algebra	2002	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	The Serre spectral sequence of a multiplicative fibration	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Commutative cochain algebras for spaces and simplicial sets	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Relative Sullivan algebras	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Graded (differential) algebra	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Fibrations, homotopy groups and Lie group actions	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Smooth Differential Forms	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Fibrations and topological monoids	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	p—local and rational spaces	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The loop space homology algebra	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	CW complexes, homotopy groups and cofibrations	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Adjunction spaces, homotopy groups and Whitehead products	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Lie models for topological spaces and CW complexes	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The Hochschild-Serre spectral sequence	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Lusternik-Schnirelmann category	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	(R, d)-modules and semifree resolutions	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Singular chains, homology and Eilenberg- MacLane spaces	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The dg Hopf algebra C*(ΩX)	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The Quillen functors C* and ℒ	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The commutative cochain algebra, C*(L,dL)	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Grade and depth for fibres and loop spaces	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Growth of Rational Homotopy Groups	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Rational LS category and rational cone-length	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The homotopy Lie algebra and the holonomy representation	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Projective resolutions of graded modules	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Semifree chain models of a G—fibration	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Graded (differential) Lie algebras and Hopf algebras	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Chain Lie algebras and topological groups	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	LS category of Sullivan algebras	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Lie algebras of finite depth	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Spatial realization	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Rational Homotopy Theory	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The cochain algebra C*(X; $$\Bbbk $$ )	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Sullivan models	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Poincaré Duality	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Semifree cochain models of a fibration	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Rational Homotopy Theory	2000	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	Rational homotopy theory for non-simply connected spaces	1999	Antonio Gómez‐Tato Stephen Halperin Daniel Tanré
+	The rational ls category of products and of Poincaré duality complexes	1998	Yves Félix Stephen Halperin Jean-Michel Lemaire
+ PDF Chat	The fibre of a cell attachment	1995	Stephen Halperin Jean-Michel Lemaire
+	Homotopy Theory and Models: Based on Lectures held at a DMV Seminar in Blaubeuren by H.J. Baues, S. Halperin and J.-M. Lemaire	1995	Marc Aubry Hans Joachim Baues Stephen Halperin Jean-Michel Lemaire
+	Differential Graded Algebras in Topology	1995	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Hopf Algebras and a Counterexample to a Conjecture of Anick	1994	Yves Félix Stephen Halperin J. C. Thomas
+	Universal enveloping algebras and loop space homology	1992	Stephen Halperin
+	The category of a map and the grade of a module	1992	Yves Félix Stephen Halperin J. Thomas
+ PDF Chat	Adams’ cobar equivalence	1992	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Engel elements in the homotopy Lie algebra	1991	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Torsion gaps in the homotopy of finite complexes II	1991	Stephen Halperin
+	Elliptic Hopf Algebras	1991	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Lie Algebras of Polynomial Growth	1991	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Elliptic isometries, condition (C) and proper maps	1991	Karsten Grove Stephen Halperin
+ PDF Chat	The homology of a free loop space	1991	Stephen Halperin Micheline Vigué-Poirrier
+ PDF Chat	Elliptic spaces	1991	Yves Félix Stephen Halperin Jean‐Claude Thomas
+ PDF Chat	Homotopie filtrée et fibres $C^{\infty}$	1990	Stephen Halperin Daniel Tanré
+	Loop space homology of spaces of LS category one and two	1990	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Primitive subspaces of Hopf algebras of finite depth	1990	Stephen Halperin
+	Hopf algebras of polynomial growth	1989	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Modp loop space homology	1989	Yves F�lix Stephen Halperin Jean-Michel Lemaire Jean‐Claude Thomas
+	Gorenstein spaces	1988	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	The Radical of the Homotopy Lie Algebra	1988	Yves Félix Stephen Halperin Carl Jacobsson Clas Löfwall Jean‐Claude Thomas
+	Notions of category in differential algebra	1988	Stephen Halperin Jean-Michel Lemaire
+	Torsion gaps in the homotopy of finite complexes	1988	Stephen Halperin
+	On the non-vanishing of cotangent cohomology	1987	Luchézar L. Avramov Stephen Halperin
+	The non-vanishing of the deviations of a local ring	1987	Stephen Halperin
+ PDF Chat	Dupin hypersurfaces, group actions and the double mapping cylinder	1987	Karsten Grove Stephen Halperin
+ PDF Chat	Le complexe de Koszul en algèbre et topologie	1987	Stephen Halperin
+	Through the looking glass: A dictionary between rational homotopy theory and local algebra	1986	Luchézar L. Avramov Stephen Halperin
+	On a conjecture of roos	1986	Rikard B ogvad Stephen Halperin
+	High skeleta of CW complexes	1986	Stephen Halperin Gerson Levin
+	Descent and ascent of local properties along homomorphisms of finite flat dimension	1985	Luchézar L. Avramov Hans‐Bjørn Foxby Stephen Halperin
+	Commutative rings, algebraic topology, graded lie algebras and the work of Jan-Erik Roos	1985	David J. Anick Stephen Halperin
+	Rational homotopy and torus actions	1985	Stephen Halperin
+ PDF Chat	Sur l'homotopie des espaces de categorie 2.	1984	Yuri Felix Stephen Halperin J. -c. Thomas
+	[The Homotopy of Category-2 Spaces]	1984	Yves Félix Stephen Halperin J. C. Thomas
+	Volume and bounded cohomology . The topological rationality of linear representations . Homotopy representations of finite groups . Contributions of rational homotopy theory to global problems in geometry . The homotopy Lie algebra for finite complexes	1983	Mikhael Gromov Sylvain E. Cappell Julius L. Shaneson Tammo tom Dieck Ted Petrie Karsten Grove Stephen Halperin Yves Félix J. C. Thomas
+ PDF Chat	Contributions of rational homotopy theory to global problems in geometry	1982	Karsten Grove Stephen Halperin
+ PDF Chat	The homotopy lie algebra for finite complexes	1982	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Rational L.-S. Category and Its Applications	1982	Yves Félix Stephen Halperin
+	Formal Spaces with Finite-Dimensional Rational Homotopy	1982	Yves Félix Stephen Halperin
+ PDF Chat	Rational Equivalence of Fibrations with Fibre <i>G/K</i>	1982	Stephen Halperin Jean Claude Thomas
+	[Certain Lie-algebras of Derivations]	1982	Yves Félix Stephen Halperin J. C. Thomas
+ PDF Chat	Formal spaces with finite-dimensional rational homotopy	1982	Yves Félix Stephen Halperin
+ PDF Chat	Rational LS category and its applications	1982	Yves Félix Stephen Halperin
+ PDF Chat	Sur certaines algèbres de Lie de dérivations	1982	Yves Félix Stephen Halperin Jean‐Claude Thomas
+	Distinct representatives, varieties and rational homotopy	1979	John Friedlander Stephen Halperin
+	An arithmetic characterization of the rational homotopy groups of certain spaces	1979	John Friedlander Stephen Halperin
+	Obstructions to homotopy equivalences	1979	Stephen Halperin James Stasheff
+ PDF Chat	Rational fibrations, minimal models, and fibrings of homogeneous spaces	1978	Stephen Halperin
+	LIE GROUP ACTIONS ON SPACES OF FINITE RANK	1978	Christopher Allday Stephen Halperin
+ PDF Chat	The rational homotopy theory of certain path spaces with applications to geodesics	1978	Karsten Grove Stephen Halperin Micheline Vigué-Poirrier
+ PDF Chat	Finiteness in the Minimal Models of Sullivan	1977	Stephen Halperin
+ PDF Chat	Finiteness in the minimal models of Sullivan	1977	Stephen Halperin
+	Connections, curvature and cohomology	1976	Werner Greub Stephen Halperin Ray Vanstone
+	Cohomology of principal bundles and homogeneous spaces	1976	Werner Greub Stephen Halperin Ray Vanstone
+ PDF Chat	The Product Formula for Stiefel-Whitney Homology Classes	1975	Stephen Halperin Domingo Toledo
+	An intrinsic definition of the Dirac operator	1975	Greub Werner Hildbert Stephen Halperin
+ PDF Chat	The product formula for Stiefel-Whitney homology classes	1975	Stephen Halperin Domingo Toledo
+	Lie groups, principal bundles, and characteristic classes	1973	Werner Greub Stephen Halperin Ray Vanstone
+	Stiefel-Whitney Homology Classes	1972	Stephen Halperin Domingo Toledo
+	De Rham cohomology of manifolds and vector bundles	1972	Werner Greub Stephen Halperin Ray Vanstone

Common Coauthors

Coauthor	Papers Together
Yves Félix	95
Jean‐Claude Thomas	65
J. C. Thomas	5
Karsten Grove	5
Jean-Michel Lemaire	5
Ray Vanstone	4
Werner Greub	4
Domingo Toledo	3
Luchézar L. Avramov	3
Daniel Tanré	2
Micheline Vigué-Poirrier	2
John Friedlander	2
J.-C. Thomas	2
Julius L. Shaneson	1
Tammo tom Dieck	1
James Stasheff	1
J. -c. Thomas	1
Carl Jacobsson	1
David J. Anick	1
Clas Löfwall	1
Yves F�lix	1
B Rikard	1
Gerson Levin	1
J. Thomas	1
Yuri Felix	1
Sylvain E. Cappell	1
Hans‐Bjørn Foxby	1
Mikhael Gromov	1
Joseph C. Thomas	1
Marc Aubry	1
Greub Werner Hildbert	1
Christopher Allday	1
Jean Claude Thomas	1
Hans Joachim Baues	1
Ted Petrie	1
Antonio Gómez‐Tato	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Infinitesimal computations in topology	1977	Dennis Sullivan	38
+ PDF Chat	On the Structure of Hopf Algebras	1965	John Milnor John C. Moore	24
+	Rational Homotopy Theory	1969	Daniel Quillen	20
+	Rational L.-S. Category and Its Applications	1982	Yves Félix Stephen Halperin	20
+	The Radical of the Homotopy Lie Algebra	1988	Yves Félix Stephen Halperin Carl Jacobsson Clas Löfwall Jean‐Claude Thomas	19
+ PDF Chat	Rational LS category and its applications	1982	Yves Félix Stephen Halperin	17
+	On PL De Rham Theory and Rational Homotopy Type	1976	A. K. Bousfield V. K. A. M. Gugenheim	17
+ PDF Chat	Finiteness in the minimal models of Sullivan	1977	Stephen Halperin	16
+	Rational Homotopy Theory	2001	Yves Félix Stephen Halperin Jean‐Claude Thomas	15
+ PDF Chat	The homotopy lie algebra for finite complexes	1982	Yves Félix Stephen Halperin Jean‐Claude Thomas	14
+	On the chain algebra of a loop space	1956	J. F. Adams P. J. Hilton	13
+	Hopf algebras of polynomial growth	1989	Yves Félix Stephen Halperin Jean‐Claude Thomas	13
+	An arithmetic characterization of the rational homotopy groups of certain spaces	1979	John Friedlander Stephen Halperin	12
+	Rational Homotopy Theory	2000	Yves Félix Stephen Halperin Jean‐Claude Thomas	11
+	Modp loop space homology	1989	Yves F�lix Stephen Halperin Jean-Michel Lemaire Jean‐Claude Thomas	10
+	Obstructions to homotopy equivalences	1979	Stephen Halperin James Stasheff	10
+	Minimal models in homotopy theory	1977	Hans Joachim Baues Jean-Michel Lemaire	10
+ PDF Chat	Growth and Lie brackets in the homotopy Lie algebra	2002	Yves Félix Stephen Halperin Jean‐Claude Thomas	9
+	Connections, curvature and cohomology	1976	Werner Greub Stephen Halperin Ray Vanstone	8
+	Through the looking glass: A dictionary between rational homotopy theory and local algebra	1986	Luchézar L. Avramov Stephen Halperin	8
+ PDF Chat	Rational fibrations, minimal models, and fibrings of homogeneous spaces	1978	Stephen Halperin	8
+	Gorenstein spaces	1988	Yves Félix Stephen Halperin Jean‐Claude Thomas	7
+	Homology and fibrations I Coalgebras, cotensor product and its derived functors	1965	Samuel Eilenberg John C. Moore	7
+	Real homotopy theory of K�hler manifolds	1975	Pierre Deligne Phillip Griffiths John Morgan Dennis Sullivan	7
+	Homotopy Limits, Completions and Localizations	1972	A. K. Bousfield Daniel M. Kan	7
+	On 𝑃𝐿 de Rham theory and rational homotopy type	1976	A. K. Bousfield V. K. A. M. Gugenheim	6
+	Hopf Algebras and Multiplicative Fibrations II	1968	John C. Moore Larry Smith	6
+ PDF Chat	The homology theory of the closed geodesic problem	1976	Micheline Vigué-Poirrier Dennis Sullivan	6
+	Hopf algebras with divided powers	1971	Michael André	6
+	RATIONAL HOMOTOPY THEORY (Graduate Texts in Mathematics 205)	2002	Kathryn Hess	6
+	Lie Algebras of Polynomial Growth	1991	Yves Félix Stephen Halperin Jean‐Claude Thomas	6
+	Hopf algebras and derivations	1980	Gunnar Sjödin	6
+ PDF Chat	Finiteness in the Minimal Models of Sullivan	1977	Stephen Halperin	6
+	Non-commutative graded algebras and their Hilbert series	1982	David J. Anick	6
+	Hopf Algebras and Multiplicative Fibrations, I	1968	John C. Moore Larry Smith	6
+	Universal enveloping algebras and loop space homology	1992	Stephen Halperin	5
+ PDF Chat	Homology of Noetherian rings and local rings	1957	John Tate	5
+	A homological characterization of local complete intersections	1971	Tor H. Gulliksen	5
+	Homology of local rings	1969	Tor H. Gulliksen Gerson Levin	5
+ PDF Chat	Algèbres Connexes et Homologie des Espaces de Lacets	1974	Jean-Michel Lemaire	5
+	Elliptic Hopf Algebras	1991	Yves Félix Stephen Halperin Jean‐Claude Thomas	5
+	Relations between the Poincaré-Betti series of loop spaces and of local rings	1979	Jan-Erik Roos	5
+	The radius of convergence of Poincar� series of loop spaces	1982	Yves Félix J. C. Thomas	5
+	On the modp Betti numbers of loop spaces	1987	John McCleary	4
+ PDF Chat	Sullivan's Minimal Models and Higher Order Whitehead Products	1978	Peter C. Andrews Martin Arkowitz	4
+	Elements of Homotopy Theory	1978	George W. Whitehead	4
+ PDF Chat	Graded Lie algebras with finite polydepth	2003	Yves Félix Stephen Halperin Joseph C. Thomas	4
+	The ranks of the homotopy groups of a space of finite LS category	2006	Yves Félix Stephen Halperin Jean‐Claude Thomas	4
+	On the theory and applications of differential torsion products	1974	V. K. A. M. Gugenheim J. P. May	4
+	Analytic properties of Poincaré series of spaces	1998	Pascal Lambrechts	4