Skip to main content
SpringerLink
Log in

Fixed point sets of continuous selfmaps

  • Conference paper
  • First Online:
Fixed Point Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 886))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
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.

References

  1. BING, R.H.: Partitioning continuous curves, Bull. Amer. Math. Soc. 58 (1952), 536–556.

    Article  MathSciNet  MATH  Google Scholar 

  2. BING, R.H.: The elusive fixed point property, Amer. Math. Monthly 76 (1969), 119–132.

    Article  MathSciNet  MATH  Google Scholar 

  3. BORSUK, K.: Theory of Retracts, Polish Scientific Publishers, Warsaw, (1967).

    MATH  Google Scholar 

  4. BROWN, R.F.: Path fields on manifolds, Trans. Amer. Math. Soc. 118 (1965), 180–191.

    Article  MathSciNet  MATH  Google Scholar 

  5. BROWN, R.F.: The Lefschetz Fixed Point Theorem, Scott, Foresman and Co., Glenview, Ill., (1971).

    MATH  Google Scholar 

  6. BROWN, R.F. and FADELL, E.: Nonsingular path fields on compact topological manifolds, Proc. Amer. Math. Soc. 16 (6) (1965), 1342–1349.

    Article  MathSciNet  MATH  Google Scholar 

  7. FADELL, E.: A remark on simple path fields in polyhedra of characteristic zero, Rocky Mount. J. Math. 4 (1974), 65–68.

    Article  MathSciNet  MATH  Google Scholar 

  8. CLEASON, A.M.: Arcs in locally compact groups, Proc. Nat. Acad. Sci. 36 (1950), 663–667.

    Article  MathSciNet  Google Scholar 

  9. JIANG, Boju (Po-chu Chiang) and SCHIRMER, H.: Fixed point sets of continuous selfmaps of polyhedra, these proceedings.

    Google Scholar 

  10. MARTIN, J.R.: Fixed point sets of Peano continua, Pac. J. Math. 74 (1978), 163–166.

    Article  MathSciNet  MATH  Google Scholar 

  11. MARTIN, J.R. and NADLER, S.B., Jr.: Examples and questions in the theory of fixed point sets, Can. J. Math. 31 (1979), 1017–1032.

    Article  MathSciNet  MATH  Google Scholar 

  12. MARTIN, J.R. and NADLER, S.B. Jr.: A note on fixed points sets and wedges, Can. Math. Bull. (to appear).

    Google Scholar 

  13. MARTIN, J.R., OVERSTEEGEN, L.G. and TYMCHATYN, E.D.: Fixed point sets of products and cones, preprint.

    Google Scholar 

  14. MARTIN, J.R. and TYMCHATYN, E.D.: Fixed point sets of 1-dimensional Peano continua, Pac. J. Math. (to appear).

    Google Scholar 

  15. NADLER, S.B., Jr.: Hyperspaces of Sets, Marcel Dekker Inc., New York, (1978).

    MATH  Google Scholar 

  16. ROBBINS, H.: Some complements to Brouwer’s fixed point theorem, Israel J. Math. 5 (1967), 225–226.

    Article  MathSciNet  MATH  Google Scholar 

  17. SCHIRMER, H.: Properties of fixed point sets of dendrites, Pac. J. Math. 36 (1971), 795–810.

    Article  MathSciNet  MATH  Google Scholar 

  18. SCHIRMER, H.: Fixed point sets of homeomorphisms of compact surfaces, Israel J. Math. 10 (1971), 373–378.

    Article  MathSciNet  MATH  Google Scholar 

  19. SCHIRMER, H.: Fixed point sets of polyhedra, Pac. J. Math. 52 (1974) 221–226.

    Article  MathSciNet  MATH  Google Scholar 

  20. SHI GEN HUA: On the least number of fixed points and Nielsen numbers, Chinese Math. 8 (1966), 234–243.

    MathSciNet  Google Scholar 

  21. SHI GEN HUA: The least number of fixed points of the identity mapping class, Acta Math. Sinica 18 (1975), 192–202.

    MATH  Google Scholar 

  22. SHI GEN HUA: On the least number of fixed points for infinite complexes, preprint.

    Google Scholar 

  23. WARD, L.E., Jr.: Fixed point sets, Pac. J. Math. 47 (1973), 553–565.

    Article  MathSciNet  MATH  Google Scholar 

  24. WECKEN, F.: Fixpunktklassen III Math. Ann. 118 (1942), 544–577.

    Article  MathSciNet  MATH  Google Scholar 

  25. WHYBURN, G.T.: Analytic Topology, Amer. Math. Soc., Providence, R.I., (1942).

    Book  MATH  Google Scholar 

  26. WILDER, R.: Topology of Manifolds, Amer. Math. Soc., Providence, R.I., (1949). *** DIRECT SUPPORT *** A00J4360 00015

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Carleton University, Ottawa, Ontario, Canada

    Helga Schirmer

Authors
  1. Helga Schirmer
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Edward Fadell Gilles Fournier

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Schirmer, H. (1981). Fixed point sets of continuous selfmaps. In: Fadell, E., Fournier, G. (eds) Fixed Point Theory. Lecture Notes in Mathematics, vol 886. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092196

Download citation

  • DOI: https://doi.org/10.1007/BFb0092196

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11152-8

  • Online ISBN: 978-3-540-38600-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation