Skip to main content

Categories of spectra and infinite loop spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 99)

Keywords

  • Hopf Algebra
  • Full Subcategory
  • Loop Space
  • Homotopy Theory
  • Cohomology Theory

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Boardman, J. M. and Vogt, R. M., “Homotopy Everything H-spaces”, Mimeographed Notes, Math. Inst., Univ. of Warwick, (1968).

    Google Scholar 

  2. Dold, A. and Lashof, R., “Principal Quasifibrations and Fibre Homotopy Equivalence of Bundles”, Ill. J. Math., 3; 285–305, (1959).

    MathSciNet  MATH  Google Scholar 

  3. Dyer, E. and Lashof, R., “Homology of Iterated Loop Spaces”, Amer. J. Math., 84; 35–88, (1962).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Eilenberg, S. and MacLane, S., “Acyclic Models”, Amer. J. Math., 75; 189–199, (1953).

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Hanner, O., “Some Theorems on Absolute Neighborhood Retracts”, Ark. Mat., 1; 389–408, (1950).

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Hurewicz, W. and Wallman, H., Dimension Theory, Princeton Univ. Press, (1961).

    Google Scholar 

  7. Kuratowski, C., “Sur Les Espaces Localement Connexes et Péaniens en Dimension n”, Fund. Math., 24; 269–287, (1935).

    MATH  Google Scholar 

  8. Milgram, R. J., “Iterated Loop Spaces”, Annals of Math., 84; 386–403, (1966).

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Milnor, J., “On Spaces Having the Homotopy Type of a CW-complex”, Trans. A.M.S., 90; 272–280, (1959).

    MathSciNet  MATH  Google Scholar 

  10. Spanier, E. H., Algebraic Topology, McGraw-Hill, Inc., (1966).

    Google Scholar 

  11. Swan, R. G., “The Homology of Cyclic Products”, Trans. A.M.S., 95; 27–68, (1960).

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1969 Spinger-Verlag

About this paper

Cite this paper

May, J.P. (1969). Categories of spectra and infinite loop spaces. In: Hilton, P.J. (eds) Category Theory, Homology Theory and Their Applications III. Lecture Notes in Mathematics, vol 99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081970

Download citation

  • DOI: https://doi.org/10.1007/BFb0081970

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04618-9

  • Online ISBN: 978-3-540-36140-4

  • eBook Packages: Springer Book Archive