Skip to main content

On parametrized Borsuk-Ulam theorem for free Z p -action

  • Conference paper
  • First Online:
Algebraic Topology Homotopy and Group Cohomology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1509))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dold, A., “Parametrized Borsuk-Ulam theorems”, Comment.Math.Helv. 63, (1988), 275–285.

    Article  MathSciNet  MATH  Google Scholar 

  2. Fadell, E.R. and Husseini, S.Y., “Cohomological index theory with applications to critical point theory and Borsuk-Ulam theorems”, Seminaire de Math. Sup. 108, Universite de Montreal, Montreal, 1989, 10–54.

    MATH  Google Scholar 

  3. Gorniewicz, L., “Homological methods in fixed point theory for multivalued maps”, Dissertationes Math. 129, (1976), 1–71.

    MathSciNet  Google Scholar 

  4. Izydorek, M., “Nonsymetric version of Bourgin-Yang theorem for multi-valued maps and free Z p -actions”, J. Math. Anal. and Appl., vol. 137, n. 2, (1989), 349–353.

    Article  MathSciNet  MATH  Google Scholar 

  5. Izydorek, M., “Remarks on Borsuk-Ulam theorem for multi-valued maps”, Bull. Acad. Sci. Pol., Math., 35, (1987), 501–504.

    MathSciNet  MATH  Google Scholar 

  6. Izydorek, M. and Jaworowski, J., “Parametrized Borsuk-Ulam theorems for multivalued maps”, (to appear).

    Google Scholar 

  7. Jaworowski, J., “A continuous version of the Borsuk-Ulam theorem” Proc. Amer. Math. Soc. 82, (1981), 112–114.

    Article  MathSciNet  MATH  Google Scholar 

  8. Jaworowski, J., “Fibre preserving maps of sphere bundles into vector space bundles”, Proc. of the Fixed Point Theory Conference, Sherbrooke, Quebec 1980, LN in Math. 886, Springer-Verlag 1981, 154–162.

    Google Scholar 

  9. Munkholm, H.J., “On the Borsuk-Ulam theorem for Z p α actions on S 2n−1 and maps S 2n−1R m”, Osaka J. Math. 7, (1970), 451–456.

    MathSciNet  MATH  Google Scholar 

  10. Munkholm, H.J., “Borsuk-Ulam type theorems for proper Z p actions on (mod p homology) n-spheres”, Math. Scand. 24, (1969), 167–185.

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  12. Nakaoka, M., “Proceedings of the Tianjin Fixed Point Conference 1988”, LN in Math., 1411, Springer-Verlag 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jaume Aguadé Manuel Castellet Frederick Ronald Cohen

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Izydorek, M., Rybicki, S. (1992). On parametrized Borsuk-Ulam theorem for free Z p -action. In: Aguadé, J., Castellet, M., Cohen, F.R. (eds) Algebraic Topology Homotopy and Group Cohomology. Lecture Notes in Mathematics, vol 1509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087512

Download citation

  • DOI: https://doi.org/10.1007/BFb0087512

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55195-9

  • Online ISBN: 978-3-540-46772-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics