Resolutions of spaces and proper inverse systems in shape theory

Kiiti Morita

Displaying similar documents to “Resolutions of spaces and proper inverse systems in shape theory”

Closure-preserving families of finite sets

H. Potoczny (1975)

Fundamenta Mathematicae

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The Tamano Theorem in $ℳ A P$

David Buhagiar (1999)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we continue with the study of paracompact maps introduced in [1]. We give two external characterizations for paracompact maps including a characterization analogous to The Tamano Theorem in the category $𝒯 O P$ (of topological spaces and continuous maps as morphisms). A necessary and sufficient condition for the Tychonoff product of a closed map and a compact map to be closed is also given.