대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제36권4호
  • /
  • Pages.649-654
  • /
  • 1999
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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EQUIVARIANT HOMOTOPY EQUIVALENCES AND A FORGETFUL MAP

  • 발행 : 1999.11.01
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초록

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.

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참고문헌

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  2. Math. Ann. v.180 Self-equivalences of (n-1)-connected 2n-manifolds P. J. Kahn
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  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
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  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