Skip to main content
  • 290 Accesses

Abstract

In this paper, certain cohomological properties of compact transformation groups are studied. Particular emphasis is given to results without finite cohomology dimension assumptions on the space.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Borel, A. et al.: Seminar on Transformation Groups, Ann. of Math. Studies, 46, 1960

    Google Scholar 

  2. Borel, A. et al.: Cohomologie des éspace localement compacts d’apres J. Leray, Lecture Notes in Mathematics 2, Berlin-Göttingen-Heidelberg-New York: Springer 1964.

    Google Scholar 

  3. Borel, et al.: Sur la cohomologie des éspace fibrés principaux et des éspaces homogènes des groupes de Lie compacts, Ann. of Math. 57, 115–207 (1953).

    Article  MathSciNet  MATH  Google Scholar 

  4. Borel, et al., and F. Hirzebruch: Characteristic classes and homogeneous spaces I, Amer. J. Math. 80, 458–538 (1958).

    Article  MathSciNet  Google Scholar 

  5. Bredon, G. E.: The cohomology ring structure of a fixed point set, Ann. of Math. 80, 524–537 (1964).

    Article  MathSciNet  MATH  Google Scholar 

  6. Bredon, , F. Raymond, and R. F. Williams: p-adic groups of transformations, Trans. of Amer. Math. Soc. 99, 488–498 (1961).

    MathSciNet  MATH  Google Scholar 

  7. Conner, P. E.: The action of the circle group, Michigan J. Math. 4, 241–247. (1957).

    Article  MathSciNet  Google Scholar 

  8. Conner, , and E. E. Floyd: On the construction of periodic maps without fixed points, Proc. of Amer. Math. Soc. 10, 354–360 (1959).

    Article  MathSciNet  MATH  Google Scholar 

  9. Hofmann, K. H., and P. S. Mostert: Elements of Compact Semigroups, Appendix II, Charles E. Merrill Books, Columbus, 1966.

    MATH  Google Scholar 

  10. Ku, Hsu-Tung: Dissertation, Tulane University, 1967.

    Google Scholar 

  11. Ku, Mei-Chin: Dissertation, Tulane University, 1967.

    Google Scholar 

  12. Montgomery, , and : Topological Transformation Groups, Interscience publishers, New York, 1955.

    MATH  Google Scholar 

  13. Raymond, F.: The orbit spaces of totally disconnected groups of transformations on manifolds, Proc. of Amer. Math. Soc. 12, 1–7 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  14. Swan, R. G.: A new Method in fixed point theory, Comment Math. Helv. 34, 1–16 (1960).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1968 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Ku, MC. (1968). On the Action of Compact Groups. In: Mostert, P.S. (eds) Proceedings of the Conference on Transformation Groups. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46141-5_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46141-5_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46143-9

  • Online ISBN: 978-3-642-46141-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics