Skip to main content
Log in

The fixed point transfer of fibre-preserving maps

  • 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

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

References

  1. Atiyah, M.F.: Characters and cohomology of finite groups. Inst. Haut. Étud. Sci., Publ. Math.9, 247–264 (1961)

    Google Scholar 

  2. Atiyah, M.F., Smith, L.: Compact Lie groups and the stable homotopy of spheres. Topology13, 135–142 (1974)

    Google Scholar 

  3. Becker, J.C., Casson, A., Gottlieb, D.H.: The Lefschetz number and fibre preserving maps. Bull. Amer. Math. Soc.81, 425–427 (1975)

    Google Scholar 

  4. Becker, J.C., Gottlieb, D.H.: Applications of the evaluation map and transfer map theorems. Math. Ann.211, 277–288 (1974)

    Google Scholar 

  5. Becker, J.C., Gottlieb, D.H.: The transfer map and fibre bundles. Topology14, 1–12 (1975)

    Google Scholar 

  6. Becker, J.C., Gottlieb, D.H.: The transfer for fibrations and duality. Preprint 1975

  7. Bourbaki, N.: Topologie Générale, nouv. éd. Paris: Hermann 1971

    Google Scholar 

  8. Bredon, G.E.: Sheaf Theory. New York-London: McGraw Hill 1967

    Google Scholar 

  9. Brown, R.F.: Fixed points and fibre maps. Pacific J. Math.21, 465–472 (1967)

    Google Scholar 

  10. Cartan, H., Eilenberg, S.: Homological Algebra: Princeton, Princeton University Press 1956

    Google Scholar 

  11. Conner, P.E., Floyd, E.E.: Differentiable Periodic Maps. Berlin-Heidelberg-New York: Springer 1964

    Google Scholar 

  12. Dold, A.: Chern classes in general cohomology. INDAM Symposia Math.V, 385–410 (1970)

    Google Scholar 

  13. Dold, A.: Lectures on Algebraic Topology. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  14. Dold, A.: The fixed point index of fibre-preserving maps. Inventiones math.25, 281–297 (1974)

    Google Scholar 

  15. Dold, A.: Transfer des points fixes d'une famille continue d'applications. C.R. Acad. Sci., Paris, Sér. A278, 1291–1293 (1974)

    Google Scholar 

  16. Dyer, E.: Cohomology Theories. New York: Benjamin 1969

    Google Scholar 

  17. Granas, A.: The Leray-Schauder index and the fixed point theory for arbitrary ANR's Bull. Soc. Math. France100, 209–228 (1972)

    Google Scholar 

  18. Herrlich, H., Strecker, G.E.: Category Theory. Boston: Allyn and Bacon 1973

    Google Scholar 

  19. James, I.M.: On sphere-bundles II. Bull. London math. Soc.1, 323–328 (1969)

    Google Scholar 

  20. Jerrard, R.P.: Homology with multiple-valued functions applied to fixed points. Trans. Amer. Math. Soc.213, 407–427 (1975)

    Google Scholar 

  21. Kahn, D.S., Priddy, St.B.: Applications of the transfer to stable homotopy theory. Bull. Amer. Math. Soc.78, 981–987 (1972)

    Google Scholar 

  22. Kelley, J.L., Spanier, E.: Euler characteristics. Pacific J. Math.26, 317–339 (1968)

    Google Scholar 

  23. Knill, R.J.: On the homology of a fixed point set. Bull. Amer. Math. Soc.77, 184–190 (1971)

    Google Scholar 

  24. Lawson, J.D.: Comparison of taut cohomologies. Aequationes math.9, 201–209 (1973)

    Google Scholar 

  25. Leray, J.: Théorie des points fixes: indice total et nombre de Lefschetz. Bull. Soc. math. France87, 221–233 (1959)

    Google Scholar 

  26. Milnor, J.: On axiomatic homology theory. Pacific J. Math.12, 337–341 (1962)

    Google Scholar 

  27. Roush, F.W.: Transfer in Generalized Cohomology Theories. Thesis, Princeton University, 1971

  28. Schön, R.: Kohomologie überB und die Differentiale der Spektralsequenz einer Faserung. Dissertation, Universität Heidelberg 1974.

  29. Smith, L.: On the construction of the Eilenberg-Moore spectral sequence. Bull. Amer. Math. Soc.75, 873–878 (1969)

    Google Scholar 

  30. tom Dieck, T.: The Burnside ring and equivariant stable homotopy. Lecture notes by M.C. Bix, University of Chicago 1975

  31. tom Dieck, T.: The Burnside ring of a compact Lie group. II. Preprint

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dold, A. The fixed point transfer of fibre-preserving maps. Math Z 148, 215–244 (1976). https://doi.org/10.1007/BF01214520

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214520

Keywords

Navigation