Skip to main content

A rational homotopy analog of Whitehead's problem

  • Conference paper
  • First Online:
Book cover Algebra, Algebraic Topology and their Interactions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1183))

  • 2601 Accesses

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
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.

References

  1. J.F. Adams, A new proof of a theorem of W.H. Cockcroft. J. London Math. Soc. 30 (1955), 482–488.

    Article  MathSciNet  MATH  Google Scholar 

  2. J.F. Adams and P.J. Hilton, On the chain algebra of a loop space. Comm. Math. Helv. 30 (1955), 305–330.

    Article  MathSciNet  MATH  Google Scholar 

  3. D.J. Anick, Non-commutative graded algebras and their Hilbert series. J. Algebra 78 (1982), 120–140.

    Article  MathSciNet  MATH  Google Scholar 

  4. H. Cartan and S. Eilenberg, Homological Algebra. Princeton Univ. Press, Princeton N.J., 1956.

    MATH  Google Scholar 

  5. S. Halperin, Lectures on Minimal Models, Publications de l'U.E.R. Mathématiques Pures et Appliquées, Université des Sciences et Techniques de Lille, Vol. 3 (1981). (Also published as Mem. de la Soc. Math. de France 9/10 (1983).

    Google Scholar 

  6. S. Halperin and J.-M. Lemaire, Suites inertes dans les algèbres de Lie graduées. Publications de l'Univ. de Nice, 1984, No. 22; also scheduled to appear in Math. Scand.

    Google Scholar 

  7. J.-M. Lemaire, Algèbres connexes et homologie des espaces de lacet, Lecture Notes in Math. No. 422, Springer-Verlag, Berlin-Heidelberg-New York, 1974.

    Book  MATH  Google Scholar 

  8. J.-M. Lemaire, Autopsie d'un meurtre dans l'homologie d'une algèbre de chaines. Ann. Sci. École Norm. Sup (4), 11 (1978), 93–100.

    MathSciNet  MATH  Google Scholar 

  9. J.H.C. Whitehead, On adding relations to homotopy groups. Ann. Math. 42 (1941), 409–428.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jan-Erik Roos

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Anick, D.J. (1986). A rational homotopy analog of Whitehead's problem. In: Roos, JE. (eds) Algebra, Algebraic Topology and their Interactions. Lecture Notes in Mathematics, vol 1183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075447

Download citation

  • DOI: https://doi.org/10.1007/BFb0075447

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16453-1

  • Online ISBN: 978-3-540-39790-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics