Skip to main content

A counterexample to the transfer conjecture

  • D. Loop and H. Spaces
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 741))

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. J. F. Adams, Chern characters and the structure of the unitary group. Proc. Camb. Phil. Soc. 57(1961), pp. 189–199.

    Article  MATH  Google Scholar 

  2. J. F. Adams and S. B. Priddy, Uniqueness of BSU. Math. Proc. Camb. Phil. Soc. 80(1976), pp. 475–509.

    Article  MathSciNet  MATH  Google Scholar 

  3. D. W. Anderson, Chain functors and homology theories. Lecture Notes in Mathematics 249, Springer-Verlag (1971), pp. 1–12.

    Google Scholar 

  4. J. Beck, On H-spaces and infinite loop spaces. Lecture Notes in Mathematics 99, Springer-Verlag (1969), pp. 139–153.

    Google Scholar 

  5. E. Dyer and R. K. Lashof, Homology of iterated loop spaces. Amer. J. Math. 84(1962), pp. 35–88.

    Article  MathSciNet  MATH  Google Scholar 

  6. P. Eccles, Does transfer characterize cohomology theories? mimeographed, Manchester (1974).

    Google Scholar 

  7. D. Kahn and S. Priddy, The transfer and stable homotopy theory, Math. Proc. Camb. Phil. Soc. 83(1978), pp. 103–111.

    Article  MathSciNet  MATH  Google Scholar 

  8. D. Kraines, The kernel of the loop suspension map. Ill. J. Math. 21(1977), pp. 99–108.

    MathSciNet  Google Scholar 

  9. T. Lada, Strong Homotopy Monads, Iterated Loop Spaces and Transfer. Notre Dame thesis (1974).

    Google Scholar 

  10. —, Strong homotopy algebras over monads. Lecture Notes in Mathematics 533, Springer-Verlag (1976), pp. 399–479.

    Google Scholar 

  11. A. Liulevicius, On Characteristic Classes. Lecture notes, Aarhus Universitet (1968).

    Google Scholar 

  12. S. MacLane, Homology. Academic Press, New York (1963).

    Book  MATH  Google Scholar 

  13. —, Categories for the Working Mathematician. Springer-Verlag, New York, Berlin (1971).

    Google Scholar 

  14. I. Madsen, Higher torsion in SG and BSG. Math. Z. 143(1975), pp. 55–80.

    Article  MathSciNet  MATH  Google Scholar 

  15. —, Remarks on normal invariants from the infinite loop space point of view. AMS Summer Institute, Stanford (1976).

    Google Scholar 

  16. I. Madsen, V. Snaith and J. Tornehave, Infinite loop maps in geometric topology. Math. Proc. Camb. Phil. Soc. 81(1977), pp. 399–430.

    Article  MathSciNet  MATH  Google Scholar 

  17. J. P. May, Categories of spectra and infinite loop spaces. Lecture Notes in Mathematics 99, Springer-Verlag (1969), pp. 448–479.

    Google Scholar 

  18. —, The Geometry of Iterated Loop Spaces. Lecture Notes in Mathematics 271, Springer-Verlag (1972).

    Google Scholar 

  19. —, Homology of E spaces. Lecture Notes in Mathematics 533, Springer-Verlag (1976), pp. 1–68.

    Google Scholar 

  20. H. Miller, A spectral sequence for infinite delooping. (to appear).

    Google Scholar 

  21. F. W. Rousch, Transfer in Generalized Cohomology Theories. Princeton Thesis (1971).

    Google Scholar 

  22. G. Segal, Classifying spaces and spectral sequences. IHES 34(1968), pp. 105–112.

    MATH  Google Scholar 

  23. —, Categories and cohomology theories. Topology 13(1974), pp. 293–312.

    Article  MathSciNet  MATH  Google Scholar 

  24. W. M. Singer, Connective fiberings over BU and U. Topology 7(1968), pp. 271–304.

    Article  MathSciNet  MATH  Google Scholar 

  25. J. Stasheff, Homotopy associativity of H spaces, II. Trans. Amer. Math. Soc. 108(1963), pp. 293–312.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kraines, D., Lada, T. (1979). A counterexample to the transfer conjecture. In: Hoffman, P., Snaith, V. (eds) Algebraic Topology Waterloo 1978. Lecture Notes in Mathematics, vol 741. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062159

Download citation

  • DOI: https://doi.org/10.1007/BFb0062159

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09545-3

  • Online ISBN: 978-3-540-35009-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics