Skip to main content
Log in

Äquivalenzen bezüglich allgemeiner Homotopiegruppen

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

In the following work we present an uniform theory for proofs of theorems on “local” and “numerably local” properties of spaces and maps (over B). As applications of our two main theorems, we obtain some new results, but also theorems proven by A. Dold [3] and T. tom Dieck [2], and well-known theorems on CW-spaces.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

Literatur

  1. T. tom Dieck, K. H. Kamps, D. Puppe: Homotopietheorie. Springer Lecture Notes vol. 157 (1970)

  2. T. tom Dieck: Partitions of unity in homotopy theory. Compositio Math. 23, 159–167 (1971)

    Google Scholar 

  3. A. Dold: Partitions of unity in the theory of fibratioins. Ann. Of Math. 78, 223–255 (1963)

    Google Scholar 

  4. A. Dold: Local extension properties in topology. Proceedings Adv. Study Inst. Alg. Top. (1970). 76–87. Aarhus, Denmark

  5. J. Dugundji: Topology, Allyn and Bacon, Inc., Boston, 1970

    Google Scholar 

  6. O. Hanner: Retraction and extension of mappings of metric and non-metric spaces. Arkiv for Mat. 2, 315–360 (1952)

    Google Scholar 

  7. S. T. Hu: Theory of retracts. Wayne State University Press, Detroit 1965

    Google Scholar 

  8. G. Segal: Classifying spaces and spectral sequences. Publ. Math. I.H.S. 34, 105–112 (1968)

    Google Scholar 

  9. E. H. Spanier: Algebraic Topology, McGraw-Hill, New York 1966

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brunner, G. Äquivalenzen bezüglich allgemeiner Homotopiegruppen. Manuscripta Math 21, 357–406 (1977). https://doi.org/10.1007/BF01167854

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01167854

Navigation