On faded cosheaves of sets (Q1584150)

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scientific article; zbMATH DE number 1524053
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On faded cosheaves of sets
scientific article; zbMATH DE number 1524053

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    On faded cosheaves of sets (English)
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    31 October 2000
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    According to \textit{G. E. Bredon} [Sheaf theory, Nauka, Moscow (1988; Zbl 0638.55001)]\ the cobundle is called faded, if its morphisms of inclusion are the injective mappings (i.e. the morphisms of the category set). The author proves that the category of faded cobundles of sets over the primal topological space \((B,{\mathcal O})\) is equivalent to the category of mappings into the set~\(B\).
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    primal topological spaces
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    faded cobundle
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