Equivariant Nielsen theory

Peter Wong

Banach Center Publications (1999)

  • Volume: 49, Issue: 1, page 253-258
  • ISSN: 0137-6934

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Wong, Peter. "Equivariant Nielsen theory." Banach Center Publications 49.1 (1999): 253-258. <http://eudml.org/doc/208965>.

@article{Wong1999,
author = {Wong, Peter},
journal = {Banach Center Publications},
keywords = {Nielsen number; fixed point theory; homogeneous space; equivariant maps; degree; root theory; equivariant map; fixed point},
language = {eng},
number = {1},
pages = {253-258},
title = {Equivariant Nielsen theory},
url = {http://eudml.org/doc/208965},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Wong, Peter
TI - Equivariant Nielsen theory
JO - Banach Center Publications
PY - 1999
VL - 49
IS - 1
SP - 253
EP - 258
LA - eng
KW - Nielsen number; fixed point theory; homogeneous space; equivariant maps; degree; root theory; equivariant map; fixed point
UR - http://eudml.org/doc/208965
ER -

References

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  1. [BoG] L. Borsari and D. Gonçalves, G-deformation to fixed point free maps via obstruction theory, unpublished (1989). 
  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. Zbl0319.55015
  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. Zbl0689.55005
  5. [F] E. Fadell, Two vignettes in fixed point theory, in: Topological Fixed Point Theory and Applications (Tianjin, 1988), B. Jiang (ed.), Lecture Notes in Math. 1411, Springer, Berlin, 1989, 46-51. 
  6. [FW] E. Fadell and P. Wong, On deforming G-maps to be fixed point free, Pacific J. Math. 132 (1988), 277-281. Zbl0612.58007
  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. Zbl0512.55003
  10. [K] T. Kiang, The Theory of Fixed Point Classes, Science Press, Springer, Berlin-Beijing, 1989. Zbl0676.55001
  11. [S] H. Schirmer, Mindestzahlen von Koinzidenzpunkten, J. Reine Angew. Math. 194 (1955), 21-39. 
  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. Zbl0548.55002
  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. Zbl0908.55002
  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. Zbl0691.55004
  18. [W5] P. Wong, Equivariant Nielsen numbers, Pacific J. Math. 159 (1993), 153-175. Zbl0739.55001

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