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  • Conference proceedings
  • © 1988

Algebraic Topology - Rational Homotopy

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

Editors:

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

    • Marc Aubry, Jean-Michel Lemaire
    Pages 26-30
  3. Combinatorial homotopy

    • Hans Joachim Baues
    Pages 31-50
  4. Cyclic homology of commutative algebras I

    • Dan Burghelea, Micheline Vigué Poirrier
    Pages 51-72
  5. Cohomology of nilmanifolds

    • Bohumil Cenkl, Richard Porter
    Pages 73-86
  6. A dual simplicial de rham complex

    • Johan L. Dupont
    Pages 87-91
  7. Maps of BZ/pZ to BG

    • William G. Dwyer, Clarence W. Wilkerson
    Pages 92-98
  8. Formalite d'une application et suite spectrale d'Eilenberg-Moore

    • Yves Felix, Daniel Tanrè
    Pages 99-123
  9. Notions of category in differential algebra

    • S. Halperin, J.-M. Lemaire
    Pages 138-154
  10. Un modele de sullivan en homotopie moderee

    • A. Ouadghiri
    Pages 162-191
  11. Moore conjectures

    • Paul Selick
    Pages 219-227
  12. Cohomological physics

    • James Stasheff
    Pages 228-237
  13. Cyclic homology and quillen homology of a commutative algebra

    • Micheline Vigué-Poirrier
    Pages 238-245

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.

Keywords

  • Algebraic topology
  • Homotopy
  • Homotopy group
  • cohomology
  • homology
  • homotopy theory

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

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions