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Algebraic Topology

Proceedings of an International Conference held in Arcata, California, July 27 - August 2, 1986

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Gunnar Carlsson
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  2. Ralph Cohen
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  3. Haynes Miller
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  4. Douglas Ravenel
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1370)

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Table of contents (38 papers)

  1. Front Matter

    Pages I-IX
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  2. Topology: past, present and future

    • I. M. James
    Pages 1-9

  3. The work of Edgar H. Brown, Jr. in Topology

    • George W. Whitehead
    Pages 10-14

  4. Homology representations of finite transformation groups

    • Alejandro Adem
    Pages 15-23

  5. Homotopy exponents for spaces of category two

    • David J. Anick
    Pages 24-52

  6. On the complex bordism of classifying spaces

    • Martin Bendersky, Donald M. Davis
    Pages 53-56

  7. On equivariant maps and immersions of real projective spaces

    • A. J. Berrick, Duane Randall
    Pages 57-62

  8. Cogroups which are not suspensions

    • Israel Berstein, John R. Harper
    Pages 63-86

  9. Instantons and homotopy

    • Charles P. Boyer, Benjamin M. Mann
    Pages 87-102

  10. On real homotopy theory

    • Edgar H. Brown Jr., Robert H. Szczarba
    Pages 103-116

  11. Some remarks on the space Im J

    • F. R. Cohen, F. P. Peterson
    Pages 117-125

  12. A new spectrum related to 7-connected cobordism

    • Donald M. Davis, Mark Mahowald
    Pages 126-134

  13. Aspherical manifolds without smooth or PL structure

    • Michael W. Davis, Jean-Claude Hausmann
    Pages 135-142

  14. Homology with simplicial coefficients

    • W. G. Dwyer, D. M. Kan
    Pages 143-149

  15. On the double suspension

    • Brayton Gray
    Pages 150-162

  16. A whitehead product for track groups

    • KA Hardie, AV Jansen
    Pages 163-170

  17. Minimal atlases of real projective spaces

    • Michael J. Hopkins
    Pages 171-192

  18. Higher homotopy associativity

    • Norio Iwase, Mamoru Mimura
    Pages 193-220

  19. Homotopy approximations for classifying spaces of compact lie groups

    • Stefan Jackowski, James E. McClure
    Pages 221-234

  20. Cyclic homology and characteristic classes of bundles with additional structures

    • Max Karoubi
    Pages 235-242
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Keywords

About this book

These are proceedings of an International Conference on Algebraic Topology, held 28 July through 1 August, 1986, at Arcata, California. The conference served in part to mark the 25th anniversary of the journal Topology and 60th birthday of Edgar H. Brown. It preceded ICM 86 in Berkeley, and was conceived as a successor to the Aarhus conferences of 1978 and 1982. Some thirty papers are included in this volume, mostly at a research level. Subjects include cyclic homology, H-spaces, transformation groups, real and rational homotopy theory, acyclic manifolds, the homotopy theory of classifying spaces, instantons and loop spaces, and complex bordism.

Bibliographic Information

  • Book Title: Algebraic Topology

  • Book Subtitle: Proceedings of an International Conference held in Arcata, California, July 27 - August 2, 1986

  • Editors: Gunnar Carlsson, Ralph Cohen, Haynes Miller, Douglas Ravenel

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0085212

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-51118-2Published: 26 April 1989

  • eBook ISBN: 978-3-540-46160-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 462

  • Topics: Algebraic Topology, Category Theory, Homological Algebra

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