Edit Profile (opens in new tab) Félix, Yves Co-Author Distance Author ID: felix.yves Published as: Félix, Yves; Felix, Yves; Félix, Y.; Felix, Y. more...less Homepage: https://uclouvain.be/fr/repertoires/yves.felix External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 176 Publications since 1975, including 17 Books and 12 Additional arXiv Preprints 4 Contributions as Editor Reviewing Activity: 258 Reviews Co-Authors: 36 Co-Authors with 154 Joint Publications 378 Co-Co-Authors all top 5 Co-Authors 26 single-authored 72 Thomas, Jean-Claude 51 Halperin, Stephen 25 Murillo-Mas, Aniceto 23 Tanré, Daniel 12 Buijs, Urtzi 10 Lemaire, Jean-Michel 6 Fuentes, Mario 4 Lupton, Gregory M. 4 Oprea, John F. 4 Smith, Samuel Bruce 4 Vigué-Poirrier, Micheline 3 Jessup, Barry 3 Parent, Paul-Eugène 2 Ben-Naoum, Abdou Koulder 2 Callenaere, Bernard 2 Cuvilliez, Maxence 2 Löfwall, Clas 2 Menichi, Luc 1 Abels, Herbert 1 Avramov, Luchezar L. 1 Baues, Hans-Joachim 1 Boulagouaz, M’hammed 1 Cornea, Octav 1 De Coster, Colette 1 Debieve, Camille 1 Dherte, Hélène 1 Federinov, Julien 1 Gómez-Tato, Antonio 1 Grunewald, Fritz J. 1 Huerta, Sergio 1 Igodt, Paul 1 Jacobsson, Carl 1 Lavendhomme, René 1 Moreno-Fernández, José Manuel 1 Ndombol, Bitjong 1 Sigrist, Francois 1 Strom, Jeffrey A. 1 Wockel, Christoph all top 5 Serials 11 Journal of Pure and Applied Algebra 11 Proceedings of the American Mathematical Society 7 Topology 6 Transactions of the American Mathematical Society 5 Annales de l’Institut Fourier 5 Topology and its Applications 4 Journal of Algebra 4 Bulletin de la Société Matheḿatique de Belgique. Série B 4 Bulletin de la Société Mathématique de Belgique. Série A 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Bulletin de la Société Mathématique de France 3 Canadian Journal of Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Homology, Homotopy and Applications 3 Algebraic & Geometric Topology 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 American Journal of Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Canadian Mathematical Bulletin 2 Commentarii Mathematici Helvetici 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Expositiones Mathematicae 2 Rapport. Séminaire de Mathématique. Nouvelle Série 2 Contemporary Mathematics 2 Journal of Homotopy and Related Structures 2 Journal of Topology 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Algebra and Logic 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Bulletin of the London Mathematical Society 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 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 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Theory and Applications of Categories 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Astérisque 1 Graduate Texts in Mathematics 1 Lecture Notes in Mathematics 1 Progress in Mathematics 1 Oxford Graduate Texts in Mathematics 1 ICCM Notices 1 EMS Surveys in Mathematical Sciences all top 5 Fields 162 Algebraic topology (55-XX) 34 Manifolds and cell complexes (57-XX) 29 Nonassociative rings and algebras (17-XX) 21 Associative rings and algebras (16-XX) 16 Commutative algebra (13-XX) 10 Category theory; homological algebra (18-XX) 7 General and overarching topics; collections (00-XX) 4 Quantum theory (81-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 2 Field theory and polynomials (12-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 1,512 times in 822 Documents Cited by ▼ Year ▼ Rational homotopy theory. Zbl 0961.55002 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 392 2001 Algebraic models in geometry. Zbl 1149.53002 Félix, Yves; Oprea, John; Tanré, Daniel 108 2008 Rational L.-S. category and its applications. Zbl 0508.55004 Felix, Yves; Halperin, Stephen 91 1982 Gorenstein spaces. Zbl 0659.57011 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 68 1988 Rational homotopy theory II. Zbl 1325.55001 Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 51 2015 Differential graded algebras in topology. Zbl 0868.55016 Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 42 1995 The radical of the homotopy Lie algebra. Zbl 0654.55011 Felix, Yves; Halperin, Stephen; Jacobsson, Carl; Löfwall, Clas; Thomas, Jean-Claude 33 1988 Adams’ cobar equivalence. Zbl 0765.55005 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 31 1992 Rational BV-algebra in string topology. Zbl 1160.55006 Félix, Yves; Thomas, Jean-Claude 30 2008 Gerstenhaber duality in Hochschild cohomology. Zbl 1076.55003 Félix, Yves; Menichi, Luc; Thomas, Jean-Claude 27 2005 Mod \(p\) loop space homology. Zbl 0667.55007 Félix, Yves; Halperin, Stephen; Lemaire, Jean-Michel; Thomas, Jean-Claude 26 1989 The Hochschild cohomology of a closed manifold. Zbl 1060.57019 Felix, Yves; Thomas, Jean-Claude; Vigué-Poirrier, Micheline 25 2004 The elliptic-hyperbolic dichotomy in rational homotopy. (La dichotomie elliptique-hyperbolique en homotopie rationnelle.) Zbl 0691.55001 Félix, Yves 20 1989 The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes. Zbl 0897.55001 Félix, Yves; Halperin, Steve; Lemaire, Jean-Michel 18 1998 The homotopy Lie algebra for finite complexes. Zbl 0504.55005 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 18 1982 Elliptic Hopf algebras. Zbl 0755.57018 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 17 1991 Lie models for the components of sections of a nilpotent fibration. Zbl 1180.55008 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto 17 2009 \(L_{\infty}\) rational homotopy of mapping spaces. Zbl 1334.55003 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto 16 2013 Rational string topology. Zbl 1200.55015 Félix, Yves; Thomas, Jean-Claude; Vigué-Poirrier, Micheline 16 2007 Rational homotopy of the polyhedral product functor. Zbl 1160.55008 Félix, Yves; Tanré, Daniel 16 2009 Lie models in topology. Zbl 1469.55001 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 15 2020 Rational Betti numbers of configuration spaces. Zbl 0948.55014 Félix, Yves; Thomas, Jean-Claude 14 2000 Formal spaces with finite-dimensional rational homotopy. Zbl 0489.55009 Felix, Yves; Halperin, Stephen 14 1982 \(L_{\infty }\) models of based mapping spaces. Zbl 1252.55006 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto 14 2011 Hopf algebras of polynomial growth. Zbl 0676.16008 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 13 1989 String topology on Gorenstein spaces. Zbl 1204.55008 Félix, Yves; Thomas, Jean-Claude 13 2009 The radius of convergence of Poincaré series of loop spaces. Zbl 0476.55016 Felix, Y.; Thomas, J. C. 13 1982 Denombrement des types de K-homotopie. Théorie de la déformation. Zbl 0452.55005 Felix, Y. 12 1980 The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011 Félix, Yves; Lupton, Gregory; Smith, Samuel B. 12 2010 Monoid of self-equivalences and free loop spaces. Zbl 1055.55010 Félix, Yves; Thomas, Jean-Claude 11 2004 Effet d’un attachement cellulaire dans l’homologie de l’espace des lacets. (The effect of attaching cells to the homology of loop spaces). Zbl 0686.55005 Felix, Yves; Thomas, Jean-Claude 10 1989 Maurer-Cartan elements in the Lie models of finite simplicial complexes. Zbl 1376.55009 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 9 2017 Lie models of simplicial sets and representability of the Quillen functor. Zbl 1460.55011 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 9 2020 Homotopy theory of complete Lie algebras and Lie models of simplicial sets. Zbl 1405.55011 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 9 2018 Elliptic spaces. Zbl 0726.55006 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 8 1991 Ljusternik-Schnirelman category of skeleta. Zbl 1011.55004 Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 8 2002 Sur la structure des espaces de L. S. catégorie deux. (On the structures of the spaces of L. S. category two). Zbl 0585.55010 Felix, Yves; Thomas, Jean-Claude 8 1986 Configuration spaces and Massey products. Zbl 1078.55018 Felix, Yves; Thomas, Jean-Claude 8 2004 Module d’holonomie d’une fibration. Zbl 0587.55007 Félix, Yves; Thomas, Jean-Claude 7 1985 Elliptic spaces. II. Zbl 0786.55006 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 7 1993 The cohomology algebra of unordered configuration spaces. Zbl 1079.55018 Félix, Yves; Tanré, Daniel 7 2005 Rational homotopy of gauge groups. Zbl 1168.55010 Félix, Yves; Oprea, John 7 2009 On the mapping theorem for Lusternik-Schnirelmann category. Zbl 0572.55002 Félix, Yves; Lemaire, Jean-Michel 6 1985 Formalité d’une application et suite spectrale d’Eilenberg-Moore. (Formality of a mapping and Eilenberg-Moore spectral sequence). Zbl 0661.55007 Felix, Yves; Tanré, Daniel 6 1988 Lie algebras of polynomial growth. Zbl 0755.57019 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 6 1991 Gorenstein graded algebras and the evaluation map. Zbl 0912.55006 Félix, Yves; Murillo, Aniceto 6 1998 Modeles bifiltres: Une plaque tournante en homotopie rationnelle. Zbl 0489.55008 Felix, Yves 6 1981 Growth and Lie brackets in the homotopy Lie algebra. Zbl 1006.55008 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 2002 On the growth of the homology of a free loop space. Zbl 1300.55016 Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 5 2013 Loop space homology of spaces of LS category one and two. Zbl 0687.55004 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 1990 Sur l’opération d’holonomie rationnelle. Zbl 0594.55011 Felix, Y.; Thomas, J. C. 5 1986 A note on the nilpotency of subgroups of self-homotopy equivalences. Zbl 0881.55009 Félix, Yves; Murillo, Aniceto 5 1997 The category of a map and the grade of a module. Zbl 0773.55003 Felix, Y.; Halperin, S.; Thomas, J.-C. 5 1992 Rational homotopy of the (homotopy) fixed point sets of circle actions. Zbl 1175.55010 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto 5 2009 Problems on mapping spaces and related subjects. Zbl 1208.55007 Félix, Yves 5 2010 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 The fibre-cofibre construction and its applications. Zbl 0648.55012 Felix, Y.; Thomas, J. C. 4 1988 Engel elements in the homotopy Lie algebra. Zbl 0737.17011 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 4 1991 Classification homotopique des espaces rationnels de cohomologie donnée. Zbl 0447.55010 Felix, Y. 4 1979 \(H\)-space structure on pointed mapping spaces. Zbl 1082.55006 Félix, Yves; Tanré, Daniel 4 2005 The fibre of an iterative adjunction of cells. Zbl 0883.55005 Félix, Yves 4 1997 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 4 2009 Rational homotopy theory via Sullivan models: a survey. Zbl 1383.55009 Félix, Yves; Halperin, Steve 4 2017 Espaces de Golod. (Golod spaces). Zbl 0725.55008 Avramov, L. L.; Félix, Y. 3 1990 On De Rham’s theorem in synthetic differential geometry. Zbl 0735.51015 Félix, Y.; Lavendhomme, R. 3 1990 Presentations of algebras and the Whitehead \(\varGamma\)-functor for chain algebras. Zbl 0909.55009 Baues, H. J.; Félix, Y.; Thomas, J. C. 3 1992 Torsion primes in loop space homology. Zbl 1042.55005 Felix, Y.; Halperin, S.; Thomas, J.-C. 3 2004 On the Pontryagin algebra of the loops on a space with a cell attached. Zbl 0756.55006 Félix, Yves; Lemaire, Jean-Michael 3 1991 The homotopy fixed point set of Lie group actions on elliptic spaces. Zbl 1317.55006 Buijs, Urtzi; Félix, Yves; Huerta, Sergio; Murillo, Aniceto 3 2015 Le tor différentiel d’une fibration non nilpotente. Zbl 0574.55008 Félix, Yves; Thomas, Jean-Claude 3 1985 The monoid of self-homotopy equivalences of some homogeneous spaces. Zbl 0846.55005 Félix, Y.; Thomas, J. C. 3 1994 A bound for the nilpotency of a group of self homotopy equivalences. Zbl 0891.55011 Félix, Yves; Murillo, Aniceto 3 1998 Homotopie rationnelle dualité et complementarité des modèles. Zbl 0507.55009 Felix, Yves; Thomas, Jean-Claude 3 1981 Sur certaines algèbres de Lie de dérivations. Zbl 0487.55005 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 3 1982 Realization of 2-solvable nilpotent groups as groups of classes of homotopy self-equivalences. Zbl 1138.55005 Federinov, Julien; Felix, Yves 3 2007 On the ubiquity of the rational homotopy Lie algebra of a topological space. Zbl 0637.55005 Félix, Y.; Thomas, J. C. 2 1986 The rational homotopy of spaces with nonzero Euler-Poincaré characteristic. Zbl 0634.55009 Felix, Yves; Halperin, Stephen 2 1986 Rational category of the space of sections of a nilpotent bundle. Zbl 0715.55009 Félix, Y. 2 1990 Free loop spaces of finite complexes have infinite category. Zbl 0746.55007 Félix, Y.; Thomas, J. C.; Vigué-Poirrier, M. 2 1991 Propriétés des espaces biformels. Zbl 0456.55010 Felix, Yves 2 1979 Algebraic topology, rational homotopy. Proceedings of a conference held in Louvain-la-Neuve, Belgium, May 2-6, 1986. Zbl 0652.00011 2 1988 On the homology of two-level differential algebras. Zbl 0776.13013 Félix, Y.; Lemaire, J.-M. 2 1992 The Serre spectral sequence of a multiplicative fibration. Zbl 0978.55012 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 2001 Rational Lusternik-Schnirelmann category of fibrations. Zbl 1021.55003 Cuvilliez, Maxence; Félix, Yves; Jessup, Barry; Parent, Paul-Eugène 2 2002 Loop space homology of spaces of small category. Zbl 0784.55002 Félix, Yves; Thomas, Jean-Claude 2 1993 Malcev completions, LS category, and depth. Zbl 1377.55009 Félix, Yves; Halperin, Steve 2 2017 Extended Adams-Hilton’s construction. Zbl 0585.55013 Felix, Y.; Thomas, J. C. 2 1987 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. 2 1993 Sur l’homologie de l’espace des lacets d’une variété compacte. (On the homology of loop spaces of a compact manifold). Zbl 0774.57021 Félix, Yves; Tanré, Daniel 2 1992 Application of evaluation map, dual Gottlieb groups and terminal cells. (L’application d’évaluation, les groupes de Gottlieb duaux et les cellules terminales.) Zbl 0812.55003 Félix, Yves; Lemaire, Jean-Michel; Thomas, Jean-Claude 2 1994 Hopf algebras and a counterexample to a conjecture of Anick. Zbl 0814.16036 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 1994 Rational category and cone length of Poincaré complexes. Zbl 0899.55003 Cornea, Octavian; Félix, Yves; Lemaire, Jean-Michel 2 1998 Exponential growth of Lie algebras of finite global dimension. Zbl 1111.55008 Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2007 The combinatorial model for the Sullivan functor on simplicial sets. Zbl 1156.55008 Félix, Yves; Jessup, Barry; Parent, Paul-Eugène 2 2009 Espaces formels et \(\pi\) -formels. Zbl 0546.55013 Félix, Yves 2 1984 Torsion in loop space homology. Zbl 0749.55003 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 1992 An asymptotic formula for the ranks of homotopy groups. Zbl 1105.55009 Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2006 Mapping spaces between manifolds and the evaluation map. Zbl 1243.55004 Felix, Yves 2 2011 Evaluation maps in rational homotopy. Zbl 1125.55006 Félix, Yves; Lupton, Gregory 2 2007 On the growth of the homology of a free loop space. II. (Sur la croissance de l’homologie des espaces de lacets. II.) Zbl 1409.55009 Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2017 Lie models of homotopy automorphism monoids and classifying fibrations. Zbl 1490.17040 Félix, Yves; Fuentes, Mario; Murillo, Aniceto 2 2022 Homology of the completion of a Lie algebra. Zbl 1482.17046 Félix, Yves; Murillo, Aniceto 1 2022 The homology of the lamplighter Lie algebra. Zbl 1506.17018 Félix, Y.; Murillo, A. 1 2022 Spatial realization of a Lie algebra and the bar construction. Zbl 1471.55013 Félix, Yves; Tanré, Daniel 1 2021 Lie models in topology. Zbl 1469.55001 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 15 2020 Lie models of simplicial sets and representability of the Quillen functor. Zbl 1460.55011 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 9 2020 The depth of a Riemann surface and of a right-angled Artin group. Zbl 1450.55006 Félix, Yves; Halperin, Steve 1 2020 Symmetric Lie models of a triangle. Zbl 1441.55010 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 2 2019 Lie models for nilpotent spaces. Zbl 1417.55014 Félix, Yves; Moreno-Fernández, José M.; Tanré, Daniel 1 2019 Homotopy theory of complete Lie algebras and Lie models of simplicial sets. Zbl 1405.55011 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 9 2018 The depth and LS category of a topological space. Zbl 1411.55003 Félix, Yves; Halperin, Steve 1 2018 Maurer-Cartan elements in the Lie models of finite simplicial complexes. Zbl 1376.55009 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 9 2017 Rational homotopy theory via Sullivan models: a survey. Zbl 1383.55009 Félix, Yves; Halperin, Steve 4 2017 Malcev completions, LS category, and depth. Zbl 1377.55009 Félix, Yves; Halperin, Steve 2 2017 On the growth of the homology of a free loop space. II. (Sur la croissance de l’homologie des espaces de lacets. II.) Zbl 1409.55009 Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2017 The Deligne groupoid of the Lawrence-Sullivan interval. Zbl 1347.55011 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto; Tanré, Daniel 1 2016 Lie-model for Thom spaces of tangent bundles. Zbl 1336.55008 Félix, Yves; Oprea, John; Tanré, Daniel 1 2016 Rational homotopy theory II. Zbl 1325.55001 Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 51 2015 The homotopy fixed point set of Lie group actions on elliptic spaces. Zbl 1317.55006 Buijs, Urtzi; Félix, Yves; Huerta, Sergio; Murillo, Aniceto 3 2015 \(L_{\infty}\) rational homotopy of mapping spaces. Zbl 1334.55003 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto 16 2013 On the growth of the homology of a free loop space. Zbl 1300.55016 Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 5 2013 \(L_{\infty }\) models of based mapping spaces. Zbl 1252.55006 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto 14 2011 Mapping spaces between manifolds and the evaluation map. Zbl 1243.55004 Felix, Yves 2 2011 The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011 Félix, Yves; Lupton, Gregory; Smith, Samuel B. 12 2010 Problems on mapping spaces and related subjects. Zbl 1208.55007 Félix, Yves 5 2010 Rational formality of mapping spaces. Zbl 1278.55022 Félix, Yves 1 2010 Algebraic topology. Course and corrected exercises. (Topologie algébrique. Cours et exercices corrigés. Master. CAPES/Agreg.) Zbl 1198.55001 Félix, Yves; Tanré, Daniel 1 2010 Rational homotopy of symmetric products and spaces of finite subsets. Zbl 1215.55004 Félix, Yves; Tanré, Daniel 1 2010 Fibrewise stable rational homotopy. Zbl 1221.55012 Félix, Yves; Murillo, Aniceto; Tanré, Daniel 1 2010 Lie models for the components of sections of a nilpotent fibration. Zbl 1180.55008 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto 17 2009 Rational homotopy of the polyhedral product functor. Zbl 1160.55008 Félix, Yves; Tanré, Daniel 16 2009 String topology on Gorenstein spaces. Zbl 1204.55008 Félix, Yves; Thomas, Jean-Claude 13 2009 Rational homotopy of gauge groups. Zbl 1168.55010 Félix, Yves; Oprea, John 7 2009 Rational homotopy of the (homotopy) fixed point sets of circle actions. Zbl 1175.55010 Buijs, Urtzi; Félix, Yves; Murillo, Aniceto 5 2009 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 4 2009 The combinatorial model for the Sullivan functor on simplicial sets. Zbl 1156.55008 Félix, Yves; Jessup, Barry; Parent, Paul-Eugène 2 2009 The structure of homotopy Lie algebras. Zbl 1234.55005 Félix, Yves; Halperin, Steve; Thomas, Jean-Claude 1 2009 Algebraic models in geometry. Zbl 1149.53002 Félix, Yves; Oprea, John; Tanré, Daniel 108 2008 Rational BV-algebra in string topology. Zbl 1160.55006 Félix, Yves; Thomas, Jean-Claude 30 2008 Rational string topology. Zbl 1200.55015 Félix, Yves; Thomas, Jean-Claude; Vigué-Poirrier, Micheline 16 2007 Realization of 2-solvable nilpotent groups as groups of classes of homotopy self-equivalences. Zbl 1138.55005 Federinov, Julien; Felix, Yves 3 2007 Exponential growth of Lie algebras of finite global dimension. Zbl 1111.55008 Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 2 2007 Evaluation maps in rational homotopy. Zbl 1125.55006 Félix, Yves; Lupton, Gregory 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 Gerstenhaber duality in Hochschild cohomology. Zbl 1076.55003 Félix, Yves; Menichi, Luc; Thomas, Jean-Claude 27 2005 The cohomology algebra of unordered configuration spaces. Zbl 1079.55018 Félix, Yves; Tanré, Daniel 7 2005 \(H\)-space structure on pointed mapping spaces. Zbl 1082.55006 Félix, Yves; Tanré, Daniel 4 2005 The Hochschild cohomology of a closed manifold. Zbl 1060.57019 Felix, Yves; Thomas, Jean-Claude; Vigué-Poirrier, Micheline 25 2004 Monoid of self-equivalences and free loop spaces. Zbl 1055.55010 Félix, Yves; Thomas, Jean-Claude 11 2004 Configuration spaces and Massey products. Zbl 1078.55018 Felix, Yves; Thomas, Jean-Claude 8 2004 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 Lusternik-Schnirelmann category of fibrations. Zbl 1021.55003 Cuvilliez, Maxence; Félix, Yves; Jessup, Barry; Parent, Paul-Eugène 2 2002 Rational homotopy theory. Zbl 0961.55002 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 392 2001 The Serre spectral sequence of a multiplicative fibration. Zbl 0978.55012 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 2001 Rational Betti numbers of configuration spaces. Zbl 0948.55014 Félix, Yves; Thomas, Jean-Claude 14 2000 Crystallographic groups and their generalizations. II. Proceedings of the workshop, Katholieke Universiteit Leuven, Campus Kortrijk, Belgium, May 26–28, 1999. Zbl 0947.00024 1 2000 The rational Lusternik-Schnirelmann category of products and of Poincaré duality complexes. Zbl 0897.55001 Félix, Yves; Halperin, Steve; Lemaire, Jean-Michel 18 1998 Gorenstein graded algebras and the evaluation map. Zbl 0912.55006 Félix, Yves; Murillo, Aniceto 6 1998 A bound for the nilpotency of a group of self homotopy equivalences. Zbl 0891.55011 Félix, Yves; Murillo, Aniceto 3 1998 Rational category and cone length of Poincaré complexes. Zbl 0899.55003 Cornea, Octavian; Félix, Yves; Lemaire, Jean-Michel 2 1998 A note on the nilpotency of subgroups of self-homotopy equivalences. Zbl 0881.55009 Félix, Yves; Murillo, Aniceto 5 1997 The fibre of an iterative adjunction of cells. Zbl 0883.55005 Félix, Yves 4 1997 Differential graded algebras in topology. Zbl 0868.55016 Felix, Yves; Halperin, Steve; Thomas, Jean-Claude 42 1995 Nilpotent subgroups of the group of fibre homotopy equivalences. Zbl 0924.55014 Félix, Y.; Thomas, J. C. 1 1995 The monoid of self-homotopy equivalences of some homogeneous spaces. Zbl 0846.55005 Félix, Y.; Thomas, J. C. 3 1994 Application of evaluation map, dual Gottlieb groups and terminal cells. (L’application d’évaluation, les groupes de Gottlieb duaux et les cellules terminales.) Zbl 0812.55003 Félix, Yves; Lemaire, Jean-Michel; Thomas, Jean-Claude 2 1994 Hopf algebras and a counterexample to a conjecture of Anick. Zbl 0814.16036 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 2 1994 Homology of loop spaces of configuration spaces. (Homologie des espaces de lacets des espaces de configuration.) Zbl 0806.57024 Félix, Yves; Thomas, Jean-Claude 1 1994 Elliptic spaces. II. Zbl 0786.55006 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 7 1993 Loop space homology of spaces of small category. Zbl 0784.55002 Félix, Yves; Thomas, Jean-Claude 2 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. 2 1993 Homology and homotopy groups of mapping spaces at large primes. Zbl 0774.55005 Felix, Y.; Thomas, J.-C. 1 1993 Adams’ cobar equivalence. Zbl 0765.55005 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 31 1992 The category of a map and the grade of a module. Zbl 0773.55003 Felix, Y.; Halperin, S.; Thomas, J.-C. 5 1992 Presentations of algebras and the Whitehead \(\varGamma\)-functor for chain algebras. Zbl 0909.55009 Baues, H. J.; Félix, Y.; Thomas, J. C. 3 1992 On the homology of two-level differential algebras. Zbl 0776.13013 Félix, Y.; Lemaire, J.-M. 2 1992 Sur l’homologie de l’espace des lacets d’une variété compacte. (On the homology of loop spaces of a compact manifold). Zbl 0774.57021 Félix, Yves; Tanré, Daniel 2 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 17 1991 Elliptic spaces. Zbl 0726.55006 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 8 1991 Lie algebras of polynomial growth. Zbl 0755.57019 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 6 1991 Engel elements in the homotopy Lie algebra. Zbl 0737.17011 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 4 1991 On the Pontryagin algebra of the loops on a space with a cell attached. Zbl 0756.55006 Félix, Yves; Lemaire, Jean-Michael 3 1991 Free loop spaces of finite complexes have infinite category. Zbl 0746.55007 Félix, Y.; Thomas, J. C.; Vigué-Poirrier, M. 2 1991 Loop space homology of spaces of LS category one and two. Zbl 0687.55004 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 5 1990 Espaces de Golod. (Golod spaces). Zbl 0725.55008 Avramov, L. L.; Félix, Y. 3 1990 On De Rham’s theorem in synthetic differential geometry. Zbl 0735.51015 Félix, Y.; Lavendhomme, R. 3 1990 Rational category of the space of sections of a nilpotent bundle. Zbl 0715.55009 Félix, Y. 2 1990 Mod \(p\) loop space homology. Zbl 0667.55007 Félix, Yves; Halperin, Stephen; Lemaire, Jean-Michel; Thomas, Jean-Claude 26 1989 The elliptic-hyperbolic dichotomy in rational homotopy. (La dichotomie elliptique-hyperbolique en homotopie rationnelle.) Zbl 0691.55001 Félix, Yves 20 1989 Hopf algebras of polynomial growth. Zbl 0676.16008 Felix, Yves; Halperin, Stephen; Thomas, Jean-Claude 13 1989 Effet d’un attachement cellulaire dans l’homologie de l’espace des lacets. (The effect of attaching cells to the homology of loop spaces). Zbl 0686.55005 Felix, Yves; Thomas, Jean-Claude 10 1989 Gorenstein spaces. Zbl 0659.57011 Félix, Yves; Halperin, Stephen; Thomas, Jean-Claude 68 1988 The radical of the homotopy Lie algebra. Zbl 0654.55011 Felix, Yves; Halperin, Stephen; Jacobsson, Carl; Löfwall, Clas; Thomas, Jean-Claude 33 1988 Formalité d’une application et suite spectrale d’Eilenberg-Moore. (Formality of a mapping and Eilenberg-Moore spectral sequence). Zbl 0661.55007 Felix, Yves; Tanré, Daniel 6 1988 The fibre-cofibre construction and its applications. Zbl 0648.55012 Felix, Y.; Thomas, J. C. 4 1988 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 627 Authors 63 Félix, Yves 36 Thomas, Jean-Claude 32 Halperin, Stephen 30 Murillo-Mas, Aniceto 23 Yamaguchi, Toshihiro 21 Gatsinzi, Jean-Baptiste 20 Benkhalifa, Mahmoud 18 Lupton, Gregory M. 17 Buijs, Urtzi 17 Kuribayashi, Katsuhiko 17 Smith, Samuel Bruce 14 Amann, Manuel 14 Tanré, Daniel 13 Lambrechts, Pascal 13 Mao, XueFeng 12 Jessup, Barry 12 Oprea, John F. 12 Stanley, Donald 12 Theriault, Stephen D. 11 Suciu, Alexander I. 10 Menichi, Luc 10 Pollitz, Josh 9 Avramov, Luchezar L. 9 Costoya, Cristina 9 Hess, Kathryn P. 9 Maphane, Oteng 9 Nasseh, Saeed 9 Ndombol, Bitjong 9 Yokura, Shoji 8 Kishimoto, Daisuke 8 Liu, Xiugui 8 Sati, Hisham 8 Viruel, Antonio 7 Berglund, Alexander 7 Cirici, Joana 7 Huang, Ruizhi 7 Iyengar, Srikanth B. 7 Manin, Fedor 7 Muñoz Velázquez, Vicente 7 Naito, Takahito 7 Vandembroucq, Lucile 7 Vigué-Poirrier, Micheline 7 Wu, Quanshui S. 6 Bazzoni, Giovanni 6 Chataur, David 6 Greenlees, John P. C. 6 He, Jiwei 6 Knudsen, Ben 6 Lemaire, Jean-Michel 6 Markl, Martin 6 Papadima, Ștefan 6 Parent, Paul-Eugène 6 Sather-Wagstaff, Keri 6 Yoshino, Yuji 5 Beben, Piotr 5 Briggs, Benjamin 5 El Haouari, Mohammed 5 Kennard, Lee 5 Ono, Maiko 5 Tralle, Aleksy E. 5 Wahl, Nathalie 5 Zaim, Abdelhadi 5 Zhang, James J. 4 Benson, David John 4 Berest, Yuri Yu. 4 Carlson, Jeffrey Daniel 4 Cohen, Frederick Ronald 4 DeVito, Jason 4 Fuentes, Mario 4 Garvín, Antonio 4 Gitler Hammer, Samuel Carlos 4 Grove, Karsten 4 Hilali, Mohamed Rachid 4 Kirkman, Ellen E. 4 Lawrence, Ruth J. 4 Lee, Dae-Woong 4 Mamouni, My Ismail 4 Oda, Nobuyuki 4 Onyango-Otieno, Vitalis 4 Otieno, Paul Antony 4 Ramadoss, Ajay C. 4 Schreiber, Urs 4 Strom, Jeffrey A. 4 Wang, Xingting 4 Wierstra, Felix Pieter 4 Wu, Jie 4 Xie, Sang 3 Allday, Christopher 3 An, Byung Hee 3 Arkowitz, Martin 3 Bahri, Anthony P. 3 Basu, Somnath 3 Bendersky, Martin 3 Biswas, Indranil 3 Boyde, Guy 3 Bubenik, Peter 3 Carrasquel-Vera, José Gabriel 3 Cuvilliez, Maxence 3 Denham, Graham 3 Drummond-Cole, Gabriel C. ...and 527 more Authors all top 5 Cited in 171 Serials 77 Journal of Pure and Applied Algebra 48 Proceedings of the American Mathematical Society 47 Topology and its Applications 44 Algebraic & Geometric Topology 43 Transactions of the American Mathematical Society 31 Advances in Mathematics 25 Mathematische Zeitschrift 23 Annales de l’Institut Fourier 23 Journal of Algebra 23 Journal of Homotopy and Related Structures 12 Israel Journal of Mathematics 10 Journal of Geometry and Physics 10 Manuscripta Mathematica 10 Geometry & Topology 9 Communications in Algebra 9 Journal of Topology 8 Mathematische Annalen 8 Forum Mathematicum 8 Communications of the Korean Mathematical Society 7 Bulletin de la Société Mathématique de France 7 Boletín de la Sociedad Matemática Mexicana. Third Series 7 Science China. Mathematics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Journal of the Mathematical Society of Japan 6 Geometric and Functional Analysis. GAFA 6 Documenta Mathematica 6 Journal of Topology and Analysis 5 Compositio Mathematica 5 Publications Mathématiques 5 International Journal of Mathematics and Mathematical Sciences 5 Inventiones Mathematicae 5 Journal of the London Mathematical Society. Second Series 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Selecta Mathematica. New Series 4 Duke Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Memoirs of the American Mathematical Society 4 Quaestiones Mathematicae 4 Journal of the American Mathematical Society 4 Applicable Algebra in Engineering, Communication and Computing 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Oberwolfach Reports 4 Proceedings of the Steklov Institute of Mathematics 4 Proceedings of the International Geometry Center 4 Arabian Journal of Mathematics 4 Forum of Mathematics, Sigma 4 EMS Surveys in Mathematical Sciences 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Archiv der Mathematik 3 Michigan Mathematical Journal 3 Chinese Annals of Mathematics. Series B 3 Annals of Global Analysis and Geometry 3 Discrete & Computational Geometry 3 Differential Geometry and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Topology Proceedings 3 Journal of Mathematical Sciences (New York) 3 Transformation Groups 3 Central European Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 Tbilisi Mathematical Journal 3 Afrika Matematika 3 Complex Manifolds 3 Higher Structures 2 Indian Journal of Pure & Applied Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Letters in Mathematical Physics 2 Fortschritte der Physik 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Fundamenta Mathematicae 2 Geometriae Dedicata 2 Glasgow Mathematical Journal 2 Mathematische Nachrichten 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Revista Matemática Iberoamericana 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Algebras and Representation Theory 2 Revista Matemática Complutense 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Journal of Algebra and its Applications 2 Journal of Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 2 Journal of Noncommutative Geometry 2 Asian-European Journal of Mathematics 2 Armenian Journal of Mathematics 2 Kyoto Journal of Mathematics 2 Advances in Group Theory and Applications 2 Transactions of A. Razmadze Mathematical Institute 2 Journal of Applied and Computational Topology 2 Graduate Journal of Mathematics 1 Communications on Pure and Applied Mathematics ...and 71 more Serials all top 5 Cited in 40 Fields 603 Algebraic topology (55-XX) 185 Manifolds and cell complexes (57-XX) 139 Associative rings and algebras (16-XX) 99 Differential geometry (53-XX) 88 Commutative algebra (13-XX) 82 Category theory; homological algebra (18-XX) 65 Algebraic geometry (14-XX) 65 Nonassociative rings and algebras (17-XX) 38 General topology (54-XX) 36 Group theory and generalizations (20-XX) 31 Several complex variables and analytic spaces (32-XX) 26 Global analysis, analysis on manifolds (58-XX) 22 Quantum theory (81-XX) 17 Combinatorics (05-XX) 16 Convex and discrete geometry (52-XX) 15 \(K\)-theory (19-XX) 10 Topological groups, Lie groups (22-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 General and overarching topics; collections (00-XX) 6 Functional analysis (46-XX) 5 Number theory (11-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Partial differential equations (35-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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