국가지식-학술정보
ON THE ADMITTANCE OF A FIXED POINT FREE DEFORMATION OF THE SPACE WHICH π<sub>1</sub>(X) IS INFINITE
ON THE ADMITTANCE OF A FIXED POINT FREE DEFORMATION OF THE SPACE WHICH π<sub>1</sub>(X) IS INFINITE
- 호남수학회
- Honam Mathematical Journal
- Vol.20 No.1
-
1998.01147 - 152 (6 pages)
- 0
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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.
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