Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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EQUIVARIANT HOMOTOPY EQUIVALENCES AND A FORGETFUL MAP

  • Published : 1999.11.01
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Abstract

We consider the forgetful map from the group of equivariant self equivalences to the group of non-equivariant self equivalences. A sufficient condition for this forgetful map being a monomorphism is obtained. Several examples are given.

Keywords

References

  1. Trans. Amer. Math. Soc. v.171 Applications of bundle map theory D. H. Gottlieb
  2. Math. Ann. v.180 Self-equivalences of (n-1)-connected 2n-manifolds P. J. Kahn
  3. Publ. Res. Inst. Math. Sci. Kyoto Univ. v.22 On the group of equivariant self equivalences of free actions H. Oshima;K. Tsukiyama
  4. Mem. Fac. Sci. Eng. Shimane Univ. v.31 Bundle map theory in the category of weak Hausdorff k-spaces H. Oshima;K. Tsukiyama
  5. Springer Lecture Notes in Math. v.1425 Groups of self-equivalences and related topics R. A. Piccinini
  6. Proc. London Math. Soc. v.20 Self-equivalences and principal morphisms J. W. Rutter
  7. Math. Proc. Camb. Phil. Soc. v.98 Equivariant self equivalences of pricipal bundles K. Tsukiyama
  8. J. Math. Soc. Japan v.48 An example of self homotopy equivalences K. Ysukiyama