Skip to main content

K-homology theory and algebraic K-theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 575)

Keywords

  • Vector Bundle
  • Clifford Algebra
  • Fredholm Operator
  • Homotopy Group
  • Trivial Bundle

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (Canada)
  • 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.

References

  1. J. F. Adams, A variant of E. H. Brown's representability theorem. Topology, 10 (1971), 185–198.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. F. Atiyah, Bott periodicity and the index of elliptic operators. Quarterly J. Math. Oxford, 19 (1968), 113–140.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M. F. Atiyah and I. M. Singer, Index theory for skew-adjoint Fredholm operators. Publ. Math. Inst. des Hautes Etudes Scient. Paris, 37 (1969), 305–326.

    Google Scholar 

  4. M. G. Barratt and S. B. Priddy, On the homology of non-connected monoids and their associated groups. Comment. Math. Helvet., 47 (1972), 1–14.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. E. H. Brown, Cohomology theories. Ann. of Math., 75 (1962), 467–484.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. A. Dold and R. Thom, Quasifaserungen und unendliche symmetrische Produkte. Ann. of Math., 67 (1958), 239–281.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. D. McDuff and G. Segal, Homology fibrations and the ‘group completion’ theorem. Inventiones math. 3. (1976), 279–284.

    CrossRef  MathSciNet  Google Scholar 

  8. D. G. Quillen, Higher algebraic K-theory I. In: Algebraic K-theory I. Springer Lecture Notes 341 (1973).

    Google Scholar 

  9. G. B. Segal, Classifying spaces and spectral sequences. Publ. Math. Inst. des Hautes Etudes Scient. Paris, 34 (1968), 105–112.

    CrossRef  MATH  Google Scholar 

  10. G. B. Segal, Configuration spaces and iterated loop spaces. Inventiones math., 21 (1973), 213–221.

    CrossRef  MATH  Google Scholar 

  11. G. B. Segal, Categories and cohomology theories. Topology, 13 (1974), 293–312.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1977 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Segal, G. (1977). K-homology theory and algebraic K-theory. In: Morrel, B.B., Singer, I.M. (eds) K-Theory and Operator Algebras. Lecture Notes in Mathematics, vol 575. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095706

Download citation

  • DOI: https://doi.org/10.1007/BFb0095706

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08133-3

  • Online ISBN: 978-3-540-37423-7

  • eBook Packages: Springer Book Archive