Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON THE ADMITTANCE OF A FIXED POINT FREE DEFORMATION OF THE SPACE WHICH π1(X) IS INFINITE

  • HAN, SANG-EON (Dept. of Mathematics, Honam University) ;
  • LEE, SIK (Dept. of Applied Mathematics, Yosu National University)
  • Received : 1998.03.04
  • Published : 1998.07.30
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Abstract

In this paper, we shall investigate the admittance of a fixed point free deformation(FPFD) on the locally nilpotent spaces when ${\pi}_1(X)$ is infinite. More precisely, for $X{\in}(S_{{\ast}{LN}})$ with ${\pi}_1(X)$ infinite, we prove the admittance of a FPFD where ${\pi}_1(X)$ has the maximal condition on normal subgroups, or ${\pi}_1(X)$ satisfies either the max-${\infty}$ or min-${\infty}$ for non-nilpotent subgroups where $S_{{\ast}{LN}}$ denotes the category of the locally nilpotent spaces and base point preserving continuous maps.

Keywords

Acknowledgement

Supported by : BSRI

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