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ArticleOriginal scientific text

Title

Equivariant Nielsen theory

Authors 1

Affiliations

  1. Department of Mathematics, Bates College, Lewiston, ME 04240, U.S.A.

Keywords

ENG
Nielsen number, fixed point theory, homogeneous space, equivariant maps, degree, root theory

Bibliography

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  2. [B] R. Brooks, Certain subgroups of the fundamental group and the number of roots of f(x)=a, Amer. J. Math. 95 (1973), 720-728.
  3. [Br] R. F. Brown, Nielsen fixed point theory on manifolds, these proceedings.
  4. [Du] H. Duan, The Lefschetz number of selfmaps of Lie groups, Proc. Amer. Math. Soc. 104 (1988), 1284-1286.
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  6. [FW] E. Fadell and P. Wong, On deforming G-maps to be fixed point free, Pacific J. Math. 132 (1988), 277-281.
  7. [Fa] P. Fagundes, Equivariant Nielsen coincidence theory, in: 10th Brazilian Topology Meeting (São Carlos, 1996), P. Schweitzer (ed.), Matemática Contempoȓanea 13, Sociedade Brasileira de Matemática, Rio de Janeiro, 1997, 117-142.
  8. [GW] D. Gonçalves and P. Wong, Homogeneous spaces in coincidence theory, in: 10th Brazilian Topology Meeting (São Carlos, 1996), P. Schweitzer (ed.), Matemática Contempoȓanea 13, Sociedade Brasileira de Matemática, Rio de Janeiro, 1997, 143-158.
  9. [J] B. Jiang, Lectures on Nielsen Fixed Point Theory, Contemp. Math. 14, Amer. Math. Soc., Providence, 1983.
  10. [K] T. Kiang, The Theory of Fixed Point Classes, Science Press, Springer, Berlin-Beijing, 1989.
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  12. [V] A. Vidal, Äquivariante Hindernistheorie für G-Deformationen, Dissertation, Universität Heidelberg, Heidelberg, 1985.
  13. [Wi] D. Wilczyński, Fixed point free equivariant homotopy classes, Fund. Math. 123 (1984), 47-60.
  14. [W1] P. Wong, Equivariant Nielsen fixed point theory and periodic points, in: Nielsen Theory and Dynamical Systems (Mt. Holyoke, 1992), C. McCord (ed.), Contemp. Math. 152, Amer. Math. Soc., Providence, 1993, 341-350.
  15. [W2] P. Wong, Fixed point theory for homogeneous spaces, Amer. J. Math. 120 (1998), 23-42.
  16. [W3] P. Wong, Root theory for G-maps, in preparation.
  17. [W4] P. Wong, Equivariant Nielsen fixed point theory for G-maps, Pacific J. Math. 150 (1991), 179-200.
  18. [W5] P. Wong, Equivariant Nielsen numbers, Pacific J. Math. 159 (1993), 153-175.
Banach Center Publications
1999/49/1
Export to PBN, Opens in new tab
Pages:
253-258
Main language of publication
English
Published
1999
Exact and natural sciences