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COHOMOLOGICAL DIMENSION OF UNIFORM SPACES

 

作者: Takahisa Miyata,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1996）
卷期: Volume 19, issue 1-2  

页码: 137-162

 

ISSN:1607-3606

 

年代: 1996

 

DOI:10.1080/16073606.1996.9631830

 

出版商: Taylor & Francis Group

 

关键词: 54E15;54E45;55N05;55M10;55P20;Cohomological dimension;uniform spaces;Čech Cohomology;uniform dimension;classification theorem;extension theorem

 

数据来源: Taylor

 

摘要:

In this paper we obtain classification and extension theorems for uniform spaces, using the Čech cohomology theory based on the finite uniform coverings, and study the associated cohomological dimension theory. In particular, we extend results for the cohomological dimension theory on compact Hausdorff spaces or compact metric spaces to those for our cohomological dimension theory on uniform spaces.

 

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