Cech border homology and cohomology groups and some applications
Abstract
In the paper the Cech border homology and cohomology groups of closed pairs of normal spaces are constructed and investigated. These groups give intrinsic characterizations of Cech homology and cohomology groups based on finite open coverings, homological and cohomological coefficients of cyclicity, small and large cohomological dimensions of remainders of Stone-Cech compactifications of metrizable spaces.
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