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The Homology of Uniform Spaces

Published online by Cambridge University Press:  20 November 2018

Mohammed Bahauddin  and
John Thomas
Mohammed Bahauddin
Affiliation:
St. Cloud State College, St. Cloud, Minnesota
John Thomas
Affiliation:
St. Cloud State College, St. Cloud, Minnesota
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In the past thirty years, algebraic topologists have developed a great body of knowledge concerning the category of topological spaces. By contrast, corresponding problems in the category of uniform spaces have been barely touched. Lubkin [8] studied the notion of a covering space in the category of generalized uniform spaces, and suggested that much of algebraic topology could be profitably studied in this category. Deming [2] discussed the fundamental group of a generalized uniform space, and related it to the first Čech homology group. A slightly different version of Cech cohomology was defined by Kuzminov and Svedov in [7] and related to the dimension theory of uniform spaces.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 3 , June 1973 , pp. 449 - 455
Copyright
Copyright © Canadian Mathematical Society 1973

References

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