Skip to main content

Pseudo-isotopy and K2

The Functor K2 of Milnor

Part of the Lecture Notes in Mathematics book series (LNM,volume 342)

Keywords

  • Homotopy Group
  • Integral Group Ring
  • Nondegenerate Critical Point
  • Whitehead Group
  • Stable Homotopy Group

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
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. Cerf, La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, I. H. E. S. Publ. Math. 39(1970), 5–173.

    MathSciNet  MATH  Google Scholar 

  2. K. Dennis, K2 and the stable range condition, to appear.

    Google Scholar 

  3. H. Garland, A finiteness theorem for K2 of a number field, Ann. Math. 94(1971), 534–548.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. S. Gersten, to appear.

    Google Scholar 

  5. A. Hatcher, A K2 obstruction for pseudo-isotopies, Ph.D. Thesis, Stanford University, 1971.

    Google Scholar 

  6. A. Hatcher, The second obstruction for pseudo-isotopies, to appear.

    Google Scholar 

  7. A. Hatcher, Parametrized h-cobordism theory, Proceedings of the 1972 Strasbourg Conference on Topology and Analysis, to appear in Ann. Inst. Fourier.

    Google Scholar 

  8. A. Hatcher and J. Wagoner, Pseudo-isotopies of non-simply connected manifolds and the functor K2, to appear.

    Google Scholar 

  9. J. Milnor, Introduction to algebraic K-theory, Ann. of Math. Studies, no. 72, Princeton University Press, Princeton, N. J., 1971.

    MATH  Google Scholar 

  10. J. Milnor, unpublished.

    Google Scholar 

  11. D. Quillen, Higher K-theory for categories with exact sequences, to appear in the proceedings of the symposium "New Developments in Topology," Oxford, 1972.

    Google Scholar 

  12. R. Swan, Excision in algebraic K-theory, J. Pure and Appl. Algebra 1(1971), 221–252.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. I. A. Volodin, Algebraic K-theory as extraordinary homology theory on the category of associative rings with unity, Mathematics of the USSR-Izvestija 5(1971), 859–887 (Russian original, vol. 35 (1971), 844–873).

    CrossRef  Google Scholar 

  14. J. Wagoner, On K2 of the Laurent polynomial rings, Am. J. Math. 93(1971), 123–138.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. J. Wagoner, Algebraic invariants for pseudo-isotopies, Proc. Liverpool Singularities Sympos. II, Lecture Notes in Math., no. 209, Springer-Verlag, Berlin and New York, 1971.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Hatcher, A.E. (1973). Pseudo-isotopy and K2 . In: Bass, H. (eds) “Classical” Algebraic K-Theory, and Connections with Arithmetic. Lecture Notes in Mathematics, vol 342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073731

Download citation

  • DOI: https://doi.org/10.1007/BFb0073731

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06435-0

  • Online ISBN: 978-3-540-37770-2

  • eBook Packages: Springer Book Archive