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arxiv: 1703.07986 · v1 · pith:TIA6C45Cnew · submitted 2017-03-23 · 🧮 math.AT

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

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keywords groupscohomologyhomologybordercohomologicalspacesapplicationscharacterizations
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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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