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arXiv · 1703.07986

\v{C}ech border homology and cohomology groups and some applications

Vladimer Baladze
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Abstract

In the paper the \v{C}ech border homology and cohomology groups of closed pairs of normal spaces are constructed and investigated. These groups give intrinsic characterizations of \v{C}ech homology and cohomology groups based on finite open coverings, homological and cohomological coefficients of cyclicity, small and large cohomological dimensions of remainders of Stone-\v{C}ech compactifications of metrizable spaces.

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Vladimer Baladze. 2017-03-23. \v{C}ech border homology and cohomology groups and some applications. https://arxiv.org/abs/1703.07986

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