Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [Bo]
    C. Bowszyc, Fixed point theorem for the pairs of spaces, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 16 (1968), 845–850.MATHMathSciNetGoogle Scholar
  2. [Br]
    R. F. Brown, The Lefschetz Fixed Point Theorem, Scott Foresman and Co., Glenview, IL, 1971.Google Scholar
  3. [BS]
    R. F. Brown and R. Sanderson, Fixed points of boundary-preserving maps of surfaces, Pacific J. Math. 158 (1993), 243–264.MathSciNetGoogle Scholar
  4. [J1]
    B. Jiang, On the least number of fixed points, Amer. J. Math. 102 (1980), 749–763.MATHMathSciNetGoogle Scholar
  5. [J2]
    _____, Fixed point class from a differentable viewpoint, Fixed Point Theory, Lecture Notes in Math., vol. 886, Springer Berlin, 1981, pp. 163–170.MATHGoogle Scholar
  6. [J3]
    _____, Lectures on Nielsen Fixed Point Theory, Contemporary Mathematics, vol. 14, AMS, Providence, RI, 1983.Google Scholar
  7. [J4]
    _____, Fixed point and braids II, Math. Ann. 272 (1985), 249–256.MATHCrossRefGoogle Scholar
  8. [J5]
    _____, Commutativity and Wecken properties for fixed points on surfaces and 3-manifolds, Topology Appl. 53 (1993), 221–228.MATHMathSciNetCrossRefGoogle Scholar
  9. [K1]
    M. Kelly, The relative Nielsen number and boundary-preserving maps of compact surfaces, Pacific J. Math. 161 (1993), 139–153.MATHMathSciNetGoogle Scholar
  10. [K2]
    _____ Fixed points boundary-preserving maps on punctured projective planes, Topology Appl. 124 (2002), 145–157.MATHMathSciNetCrossRefGoogle Scholar
  11. [Ki]
    T. H. Kiang, The Theory of Fixed Point Classes, Springer—Verlag, Berlin, Science Press, Beijing, 1989.Google Scholar
  12. [S1]
    H. Schirmer, A relative Nielsen number, Pacific J. Math. 122 (1986), 459–473.MATHMathSciNetGoogle Scholar
  13. [S2]
    _____, On the location of fixed points on pairs of spaces, Topology Appl. 30 (1988), 253–266.MATHMathSciNetCrossRefGoogle Scholar
  14. [S3]
    _____, A survey of relative Nielsen fixed point theory, Nielsen Theory and Dynamical Systems, Contemporary Mathematics, vol. 152, AMS, Providence, RI, 1993, pp. 291–310.Google Scholar
  15. [Sh]
    G. Shi, On the least number of fixed points and Nielsen numbers, Acta Math. Sinica 16 (1966), 223–232.MATHGoogle Scholar
  16. [Z1]
    X. Zhao, A relative Nielsen number for the complement, Topological Fixed Point Theory and Applications, Lecture Notes in Math., vol. 1411, Springer, Berlin, 1990, pp. 189–199.Google Scholar
  17. [Z2]
    _____, Basic relative Nielsen numbers, Topology — Hawaii, World Scientific, 1992, pp. 215–222.Google Scholar
  18. [Z3]
    _____, Minimal fixed point sets of relative maps, Fund. Math. 162 (1999), 163–180.MATHMathSciNetGoogle Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • Xuezhi Zhao

There are no affiliations available

Personalised recommendations