Skip to main content

Simple homotopy theory for compact Hilbert cube manifold factors

  • Conference paper
  • First Online:
Topology Conference

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 375))

Supported in part by N. S. F. Grant GP-28374.

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. H. Bass, A. Heller, and R. Swan, The Whitehead group of a polynomial extension, Publ. de l'Inst. des Hautes Etudes Sci. #22 (1964).

    Google Scholar 

  2. K. Borsuk, Concerning homotopy properties of compacta, Fund. Math., 62 (1968), 223–254.

    MathSciNet  MATH  Google Scholar 

  3. T. A. Chapman, Topological invariance of Whitehead torsion, Amer. J. of Math. (to appear).

    Google Scholar 

  4. _____, All Hilbert cube manifolds are triangulable, preprint.

    Google Scholar 

  5. _____, Classification of Hilbert cube manifolds and infinite simple homotopy types, preprint.

    Google Scholar 

  6. _____, Cell-like mappings of Hilbert cube manifolds: Applications to simple homotopy theory, preprint.

    Google Scholar 

  7. M. Cohen, A course in simple homotopy theory, preprint.

    Google Scholar 

  8. R. D. Edwards, The topological invariance of simple homotopy type for polyhedra, handwritten manuscript.

    Google Scholar 

  9. L. C. Siebenmann, Topological manifolds, Actes, Congres Intern. Math., 2 (1970), 133–163.

    MathSciNet  Google Scholar 

  10. J. Stallings, Whitehead torsion of free products, Annals of Math., 82 (1965), 354–363.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. E. West, Mapping cylinders of Hilbert cube factors, General Top. and its App., 1 (1971), 111–125.

    Article  MathSciNet  MATH  Google Scholar 

  12. J. H. C. Whitehead, Simple homotopy types, Amer. J. of Math., 72 (1952), 1–57.

    Article  MathSciNet  MATH  Google Scholar 

  13. R. C. Lacher, Cell-like mappings, I, Pacific J. of Math., 30 (1969), 717–731.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Raymond F. Dickman Jr. Peter Fletcher

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verleg

About this paper

Cite this paper

Chapman, T.A. (1974). Simple homotopy theory for compact Hilbert cube manifold factors. In: Dickman, R.F., Fletcher, P. (eds) Topology Conference. Lecture Notes in Mathematics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064011

Download citation

  • DOI: https://doi.org/10.1007/BFb0064011

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06684-2

  • Online ISBN: 978-3-540-37948-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics