Skip to main content
SpringerLink
Log in

Homotopy equivalences in a principal fibre space

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Arkowitz, M., andC. R. Curjel: The group of homotopy equivalences of a space. Bull. Amer. Math. Soc.70, 293–296 (1964).

    Google Scholar 

  2. Barcus, W. D., andM. G. Barratt: On the homotopy classification of the extensions of a fixed map. Trans. Amer. Math. Soc.88, 57–74 (1958).

    Google Scholar 

  3. Brown, E. H.: Cohomology theories. Ann. of Math.75, 467–484 (1962).

    Google Scholar 

  4. —: Abstract homotopy theory. A.M.S. Summer Topology Institute, Seattle 1963.

    Google Scholar 

  5. Eckmann, B., andP. J. Hilton: Group-like structures in general categories II, equalizers, limits, lengths. Math. Ann.151, 150–186 (1963).

    Google Scholar 

  6. Kahn, D. W.: The group of homotopy equivalences. Math. Z.84, 1–8 (1964).

    Google Scholar 

  7. Maclane, S.: Homology. Berlin-Göttingen-Heidelberg: Springer 1963.

    Google Scholar 

  8. Nomura, Y.: A generalization of suspension theorems. Nagoya Math. J.19, 159–167 (1961).

    Google Scholar 

  9. —: An application of the path-space technique to the theory of triads. Nagoya Math. J.22, 169–188 (1963).

    Google Scholar 

  10. Peterson, F. P., andE. Thomas: A note on non-stable cohomology operations. Bol. Soc. Math. Mexicana3, 13–18 (1958).

    Google Scholar 

  11. Shih, W.: On the groupE[X] of homotopy equivalence maps. Bull. Amer. Math. Soc.70, 361–365 (1964).

    Google Scholar 

  12. Sugawara, M.: On the homotopy-commutativity of groups and loop spaces. Mem. Coll. Sci. Univ. Kyoto, Ser. A Math.33, 257–269 (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Math., Nagoya Institute of Technology, Nagoya, Japan

    Yasutoshi Nomura

Authors
  1. Yasutoshi Nomura
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nomura, Y. Homotopy equivalences in a principal fibre space. Math Z 92, 380–388 (1966). https://doi.org/10.1007/BF01112217

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01112217

Keywords

Search

Navigation