Skip to main content

The homotopic uniqueness of BS 3

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1298))

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (USA)
  • 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.

References

  1. J.F. Adams. private communication. Fall. 1985.

    Google Scholar 

  2. A.K. Bousfield, The localization of spaces with respect to homology, Topology, vol 14(1975), pp 133–150.

    Article  MathSciNet  MATH  Google Scholar 

  3. A.K. Bousfield and D.M. Kan, Homotopy Limits, Completion and Localizations. Lecture Notes in Math. 304, Springer (1972).

    Google Scholar 

  4. W.G. Dwyer and G. Mislin, On the homotopy type of the components of Map *(BS 3,BS 3), to appear.

    Google Scholar 

  5. W. Dwyer and A. Zabrodsky, Maps between classifying spaces. Proceedings of the 1986 Barcelona Conference, Springer Lecture Notes, to appear.

    Google Scholar 

  6. J. Lannes, Cohomology of groups and function spaces, manuscript.

    Google Scholar 

  7. J.P. May, Simplicial Objects in Algebraic Topology, Van Nostrand (1976).

    Google Scholar 

  8. Charles A. McGibbon, Which group structures on S 3 have a maximal torus?. Geometric Applications of Homotpy Theory I, Springer Lecture Notes #657, pp 353–360.

    Google Scholar 

  9. Charles A. McGibbon, Stable properties of rank 1 loop structures, Topology, v.20(2) 1981 pp 109–118.

    Article  MathSciNet  MATH  Google Scholar 

  10. G. Mislin, The homotopy classification of self-maps of infinite quaternionic projective space, Quart. J. Math. Oxford, to appear.

    Google Scholar 

  11. H. Miller and C. Wilkerson, Maps of elementary p-groups into compact Lie groups, lecture by second author at 1985 Yale Conference on Algebraic Topology.

    Google Scholar 

  12. D. Rector, Loop structure on the homotopy type of S 3, Symposium on Algebraic Topology, (Batelle Seattle Research Center, Seattle, Wash. 1971) pp 99–105 Lecture Notes in Math. Vol 249, Springer (1971).

    Google Scholar 

  13. M. Rothenberg and N.E. Steenrod, The cohomology of classifying spaces of H-spaces. Bull. Amer. Math. Soc. 71(1965), pp 872–875.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

J. Aguadé R. Kane

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Dwyer, W.G., Miller, H.R., Wilkerson, C.W. (1987). The homotopic uniqueness of BS 3 . In: Aguadé, J., Kane, R. (eds) Algebraic Topology Barcelona 1986. Lecture Notes in Mathematics, vol 1298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083002

Download citation

  • DOI: https://doi.org/10.1007/BFb0083002

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18729-5

  • Online ISBN: 978-3-540-48122-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics