대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제38권1호
  • /
  • Pages.143-148
  • /
  • 2001
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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HOMOTOPY FIXED POINT SET $FOR \rho-COMPACT$ TORAL GROUP

  • 발행 : 2001.02.01
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⟨ 이전 논문 다음 논문 ⟩

초록

First, we show the finiteness property of the homotopy fixed point set of p-discrete toral group. Let $G_\infty$ be a p-discrete toral group and X be a finite complex with an action of $G_\infty such that X^K$ is nilpotent for each finit p-subgroup K of $G_\infty$. Assume X is $F_\rho-complete$. Then X(sup)hG$\infty$ is F(sub)p-finite. Using this result, we give the condition so that X$^{hG}$ is $F_\rho-finite for \rho-compact$ toral group G.

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참고문헌

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  9. Chicago Lecture Notes in Mathematics Unstable modules over the Steenrod Algebra and Sullivan's fixed point set sonjecture Lionel Schwartz
  10. Algebraic topology E.Spainer