关于同伦公理的推广

Q3 Mathematics

Proceedings of the International Geometry Center Pub Date : 2023-11-12 DOI:10.15673/pigc.v16i3.2536

Umed Karimov

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引用次数: 0

摘要

在[S。美国参议员柯密特数学。Soc。[j] .中文信息学报，1972,31(1):271-275]证明了如果G是紧拓扑群或紧拓扑域，则在alexander - spatier - kolmogoroff上同调的同伦公理中，参数段[0;1]可以被任何紧连通空间T所取代。本文的目的是证明参数空间T一般不能被局部紧连通空间所取代。

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On generalization of homotopy axiom

In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):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 show that the parameter space T can not be replaced in general by locally compact connected space.

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来源期刊

Proceedings of the International Geometry Center Mathematics-Geometry and Topology

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

3 weeks