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H-Spaces from a Homotopy Point of View

  • Book
  • © 1970

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Authors:
  1. James Stasheff

Part of the book series: Lecture Notes in Mathematics (LNM, volume 161)

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  • 133 Citations

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. H-spaces from a homotopy point of view

    • James Stasheff
    Pages 1-2

  3. The Hopf construction

    • James Stasheff
    Pages 3-6

  4. The projective plane

    • James Stasheff
    Pages 7-9

  5. Maps into an H-space: Algebraic structure, inverses, other multiplications, etc

    • James Stasheff
    Pages 10-13

  6. Associativity: Loop spaces and topological groups

    • James Stasheff
    Pages 14-19

  7. H-spaces which are finite complexes

    • James Stasheff
    Pages 20-22

  8. The bar construction spectral sequence

    • James Stasheff
    Pages 23-26

  9. Homotopy associativity

    • James Stasheff
    Pages 27-30

  10. Maps of H-spaces

    • James Stasheff
    Pages 31-37

  11. Spaces induced by H-maps

    • James Stasheff
    Pages 38-43

  12. Differentials in the bar construction

    • James Stasheff
    Pages 44-47

  13. An-spaces

    • James Stasheff
    Pages 48-57

  14. Massey products and generalized bar construction

    • James Stasheff
    Pages 59-64

  15. Homotopy commutativity

    • James Stasheff
    Pages 65-70

  16. Structure on BX

    • James Stasheff
    Pages 71-74

  17. Infinite loop spaces

    • James Stasheff
    Pages 75-80

  18. Operations in iterated loop spaces

    • James Stasheff
    Pages 81-88

  19. Back Matter

    Pages 89-95
    Download chapter PDF
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Bibliographic Information

  • Book Title: H-Spaces from a Homotopy Point of View

  • Authors: James Stasheff

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0065896

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1970

  • Softcover ISBN: 978-3-540-04940-1Published: 01 January 1970

  • eBook ISBN: 978-3-540-36314-9Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 100

  • Topics: Mathematics, general

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