论文标题

同型公理的概括

On generalization of Homotopy Axiom

论文作者

Karimov, Umed

论文摘要

在论文中\ emph {阿米尔。数学。 Soc。 \ textbf {31:1}(1972),271--275证明,如果$ g $是紧凑的拓扑组或字段,则在同型Alexander-Spanier-kolmogoroff共同体中,参数段$ [0,1]可以由任何Compact Conlact contract Connect contract contract contract contracted Space $替换。本文的目的是表明参数空间$ t $一般不能用本地紧凑的连接空间代替。

In the paper \emph{K.~Sigmon} A strong homotopy axiom for Alexander cohomology, Proc. Amer. Math. Soc. \textbf{31:1} (1972), 271--275 it was proven that if $G$ is compact topological group or field then in the Homotopy Axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment $[0, 1]$ can be replaced by any compact connected space $T$. The purpose of the paper is to shows that the parameter space $T$ can not be replaced in general by locally compact connected space.

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