Skip to main content

Fixed points in finitely dominated compacta: the geometric meaning of a conjecture of H. Bass

Part of the Lecture Notes in Mathematics book series (LNM,volume 870)

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   69.99
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. H. Bass, Euler characteristics and characters of discrete groups, Inventiones Math. 35 (1976) 155–196.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R. F. Brown, The Lefschetz fixed point theorem, Scott Foresman, Glenview and London, 1971.

    MATH  Google Scholar 

  3. M. M. Cohen, A course in simple homotopy theory, Graduate Texts in Mathematics, Springer-Verlag, New York, Heidelberg, Berlin, 1973.

    CrossRef  MATH  Google Scholar 

  4. S. Ferry, Homotopy, simple homotopy and compacta, Topology 19 (1980) 101–110.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. S. Ferry, Finitely dominated compacta need not have finite type, this volume.

    Google Scholar 

  6. R. Geoghegan, The homomorphism on fundamental group induced by a homotopy idempotent having essential fixed points, Pacific J. Math. (to appear).

    Google Scholar 

  7. S. Gersten, A product formula for Wall's obstruction, Amer. J. Math. 88 (1966) 337–346.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. S. Kinoshita, On some contractible continua without the fixed point property, Fund. Math. 40 (1953) 96–98.

    MathSciNet  MATH  Google Scholar 

  9. K. Reidemeister, Automorphismen von Homotopiekettenringen, Math. Ann. 112 (1936), 586–593.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. K. Reidemeister, Complexes and homotopy chains, Bull. Amer. Math. Soc. 56 (1950), 297–307.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. J. R. Stallings, Centerless groups-an algebraic formulation of Gottlieb's theorem, Topology 4 (1965) 129–134.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. C. T. C. Wall, Finiteness conditions for CW complexes, Annals of Math., 81 (1965), 55–69.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. F. Wecken, Fixpunktklassen, I, II, III, Math. Ann. 117 (1941) 659–671; 118 (1942) 216–234 and 544–577.

    MathSciNet  MATH  Google Scholar 

  14. R. L. Wilder, Some mapping theorems with applications to non-locally connected spaces, pp. 378–388 of Algebraic Geometry and Topology, a symposium in honor of S. Lefschetz, edited by R. H. Fox, D. C. Spencer and A. W. Tucker, Princeton University Press, Princeton, 1957.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Geoghegan, R. (1981). Fixed points in finitely dominated compacta: the geometric meaning of a conjecture of H. Bass. In: Mardešić, S., Segal, J. (eds) Shape Theory and Geometric Topology. Lecture Notes in Mathematics, vol 870. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089704

Download citation

  • DOI: https://doi.org/10.1007/BFb0089704

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10846-7

  • Online ISBN: 978-3-540-38749-7

  • eBook Packages: Springer Book Archive