Skip to main content

First quadrant spectral sequences in algebraic K-theory

  • Algebraic K- And L-Theory
  • Conference paper
  • First Online:
Algebraic Topology Aarhus 1978

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 763))

Author partially supported by NSF Grant MCS77-04148.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Bousfield, A.K., and Kan, D.M.: Homotopy Limits, Completions, and Localizations, Springer Lecture Notes in Math., Vol. 304, (1972).

    Google Scholar 

  2. Eilenberg, S., and Kelly, G.M.: "Closed categories"; in Proceedings of the Conference on Categorical Algebra: La Jolla 1965, pp. 421–562 (1966).

    Google Scholar 

  3. Grayson, D.: "Higher algebraic K-theory: II (after Quillen)," in Algebraic K-Theory: Evanston 1976, Springer Lecture Notes in Math., Vol. 551, pp. 217–240 (1976).

    Article  MathSciNet  Google Scholar 

  4. Hiller, H.: "Fixed points of Adams operations," thesis, MIT (1978).

    Google Scholar 

  5. Hilton, P., and Stammbach, U.: A Course in Homological Algebra, Springer Graduate Texts in Math. Vol. 4 (1971).

    Google Scholar 

  6. Kelly, G.M.: "An abstract approach to coherence," in Coherence in Categories, Springer Lecture Notes in Math., Vol. 281, pp. 106–147 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  7. Kelly, G.M.: "Coherence theorems for lax algebras and for distributive laws," in Category Seminar, Springer-Lecture Notes in Math., Vol. 420, pp. 281–375 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  8. Lang, S.: "Algebraic groups over finite fields," Amer. J. Math. Vol. 78, no. 3, pp. 555–563, (1956).

    Article  MathSciNet  MATH  Google Scholar 

  9. MacLane, S.: Categories for the Working Mathematician, Springer Graduate Texts in Math., vol. 5, (1971).

    Google Scholar 

  10. May, J.P.: "Categories of spectra and infinite loop spaces," in Category Theory, Homology Theory, and Their Applications III, Springer Lecture Notes in Math., vol. 99, pp. 448–479 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  11. May, J.P.: "E∞ spaces, group completions, and permutative categories," in New Developments in Topology, London Math. Soc. Lecture Notes, no. 11, pp. 61–94 (1974).

    Google Scholar 

  12. May, J.P.: "Simplicial Objects in Algebraic Topology," D. VanNostrand Co., (1967).

    Google Scholar 

  13. May, J.P.: "The spectra associated to permutative categories," preprint.

    Google Scholar 

  14. Quillen, D.: "Higher algebraic K-theory: I," in Higher K-Theories, Springer Lecture Notes in Math., vol. 341, pp. 85–147 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  15. Segal, G.: "Categories and cohomology theories," Topology, vol. 13, pp. 293–312 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  16. Segal, G.: "K-homology theory and algebraic K-theory," in K-Theory and Operator Algebras: Athens 1975, Springer Lecture Notes in Math., vol. 575, pp. 113–127 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  17. Thomason, R.W., "Homotopy colimits in Cat, with applications to algebraic K-theory and loop space theory," thesis, Princeton, (1977).

    Google Scholar 

  18. Thomason, R.W.: "Homotopy colimits in the category of small categories," to appear, Math. Proc. Cambridge Phil. Soc.

    Google Scholar 

  19. Thomason, R.W.: "Uniqueness of delooping machines," preprint.

    Google Scholar 

  20. Vogt, R.M.: "Homotopy limits and colimits," Math. Z., vol. 134, no. 1, pp. 11–52 (1973).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Johan Louis Dupont Ib Henning Madsen

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Thomason, R.W. (1979). First quadrant spectral sequences in algebraic K-theory. In: Dupont, J.L., Madsen, I.H. (eds) Algebraic Topology Aarhus 1978. Lecture Notes in Mathematics, vol 763. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088093

Download citation

  • DOI: https://doi.org/10.1007/BFb0088093

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09721-1

  • Online ISBN: 978-3-540-38520-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics