Skip to main content
SpringerLink
Log in

Parametrized Borsuk-Ulam theorems

  • Published:
Commentarii Mathematici Helvetici

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. Bourgin, D. G.,On some separation and mapping theorems, Comment. Math. Helv.29 (1955), 199–214.

    Article  MathSciNet  Google Scholar 

  2. Dold, A., Lectures on algebraic topology, Springer, Berlin-Heidelberg-New York (1972).

    MATH  Google Scholar 

  3. Edmonds, A. L.,Local connectivity of spaces of group actions, Quarterly J. Math. Oxford (2)27 (1976), 71–84.

    Article  MathSciNet  Google Scholar 

  4. Fadell, E., Cohomological methods in non-freeG-spaces with applications to general Borsuk-Ulam theorems and critical point theorems for invariant functionals. In proceedings S. P. Singh (ed) on Nonlinear Functional Analysis and its Applications pp 1–45. 1986 by D. Reidel Publ. Co.

  5. Fadell, E. andHusseini, S., Index theory forG-bundle pairs with applications to Borsuk-Ulam type theorems forG-sphere bundles. To appear in a vol. on Non-linear Functional Analysis, edited by G. M. Rassias.

  6. Fadell, E. An ideal-valued cohomological index theory with applications to Borsuk-Ulam and Bourgin-Yang theorems; to appear in: Ergodic Theory and Dynamical Systems 1987 (?).

  7. Lawson, J. D.,Comparison of taut cohomologies. Aequationes Math.9 (1973) 201–209.

    Article  MathSciNet  Google Scholar 

  8. Nakaoka, M.,Equivariant point theorems for fibre-preserving maps. Osaka J. Math.21 (1984) 809–815.

    MathSciNet  Google Scholar 

  9. Yang, C. T.,On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobo and Dyson, I and II. Ann. of Math.60 (1954) 262–282 and 62 (1955) 271–283.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Im Neuenheimer Feld 288, D-6900, Heidelberg

    Albrecht Dold

Authors
  1. Albrecht Dold
    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

Dold, A. Parametrized Borsuk-Ulam theorems. Commentarii Mathematici Helvetici 63, 275–285 (1988). https://doi.org/10.1007/BF02566767

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566767

Keywords

Search

Navigation