arXiv 2105.034882021-05-07math.AT

The Tautness Property of Homology Theory

Anzor Beridze, Leonard Mdzinarishvili

英文摘要：

The tautness for a cohomology theory is formulated and studied by various authors. However, the analogous property is not considered for a homology theory. In this paper, we will define and study this very property for the Massey homology theory. Moreover, we will prove that the Kolmogoroff and the Massey homologies are isomorphic on the category of locally compact, paracompact spaces and proper maps. Therefore, we will obtain the same result for the Kolmogoroff homology theory.

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