## Algebraic Topology - Rational Homotopy: Proceedings of a Conference held in Louvain-la-Neuve, Belgium, May 2-6, 1986This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology. Most of the papers are original research papers dealing with rational homotopy and tame homotopy, cyclic homology, Moore conjectures on the exponents of the homotopy groups of a finite CW-c-complex and homology of loop spaces. Of particular interest for specialists are papers on construction of the minimal model in tame theory and computation of the Lusternik-Schnirelmann category by means articles on Moore conjectures, on tame homotopy and on the properties of Poincaré series of loop spaces. |

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### Contents

ANICK Recent progress in Hilbert and Poincare series | 1 |

AUBRY and J M LEMAIRE Homotopie dalgebres de | 26 |

BURGHELEA and M VIGUEPOIRRIER Cyclic homology | 51 |

Copyright | |

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1-connected 1-connexe algèbre application automorphisme AX,d AZ,d bigradué Cenkl chain complex chain map cofibre cohomology commutative conjecture connexe construction CW-complexes cyclic homology d'homotopie d'une defined definition degré démonstration denote deux diagram differential algebra differential graded algebra différentielle élément entier exact sequence example existe exponent fibration filtration finite complex finitely presented formalisable free model functor graded vector space gradué H-space Halperin Hilbert series Hochschild and cyclic homomorphism Hopf algebra induces an isomorphism induit integer isomorphism isomorphisme J.H.C. Whitehead KS-complexe KS-modèle l'algèbre l'application Lemma Lemme libre Lie algebra Math minimal models modèle minimal monomorphisme morphism n-gradué nilmanifold nilpotent noetherian Notons one-two Poincare polynomial Preuve prime Proof Proposition Q modules Quillen quism R-module r+k+1 rationnelle resp ring short exact sequence spectral sequence suite spectrale suivant Sullivan Supposons surjective Theorem théorème Topology torsion tout R-module type fini vector space vectoriel vérifiant vérifie weak equivalence