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Algebraic Topology - Rational Homotopy

Proceedings of a Conference held in Louvain-la-Neuve, Belgium, May 2-6, 1986

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Yves Felix
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1318)

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Table of contents (17 papers)

  1. Front Matter

    Pages I-VIII
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  2. Recent progress in hilbert and poincare series

    • David J. Anick
    Pages 1-25

  3. Homotopies d'algèbres de Lie et de leurs algèbres enveloppantes

    • Marc Aubry, Jean-Michel Lemaire
    Pages 26-30

  4. Combinatorial homotopy

    • Hans Joachim Baues
    Pages 31-50

  5. Cyclic homology of commutative algebras I

    • Dan Burghelea, Micheline Vigué Poirrier
    Pages 51-72

  6. Cohomology of nilmanifolds

    • Bohumil Cenkl, Richard Porter
    Pages 73-86

  7. A dual simplicial de rham complex

    • Johan L. Dupont
    Pages 87-91

  8. Maps of BZ/pZ to BG

    • William G. Dwyer, Clarence W. Wilkerson
    Pages 92-98

  9. Formalite d'une application et suite spectrale d'Eilenberg-Moore

    • Yves Felix, Daniel Tanrè
    Pages 99-123

  10. An euler-poincare characteristic for 1-connected spaces with noetherian rational cohomology

    • Y. Félix, J. C. Thomas
    Pages 124-137

  11. Notions of category in differential algebra

    • S. Halperin, J.-M. Lemaire
    Pages 138-154

  12. Séries de poincaré des modules multi-gradués sur les anneaux monomiaux

    • Jack Lescot
    Pages 155-161

  13. Un modele de sullivan en homotopie moderee

    • A. Ouadghiri
    Pages 162-191

  14. Report on tame homotopy theory via differential forms

    • H. Scheerer
    Pages 192-207

  15. La filtration nilpotente de la categorie μ et la cohomologie des espaces de lacets

    • Lionel Schwartz
    Pages 208-218

  16. Moore conjectures

    • Paul Selick
    Pages 219-227

  17. Cohomological physics

    • James Stasheff
    Pages 228-237

  18. Cyclic homology and quillen homology of a commutative algebra

    • Micheline Vigué-Poirrier
    Pages 238-245
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Keywords

About this book

This 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.

Bibliographic Information

  • Book Title: Algebraic Topology - Rational Homotopy

  • Book Subtitle: Proceedings of a Conference held in Louvain-la-Neuve, Belgium, May 2-6, 1986

  • Editors: Yves Felix

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0077790

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-19340-1Published: 25 May 1988

  • eBook ISBN: 978-3-540-39204-0Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: CCLVI, 246

  • Topics: Algebraic Topology

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