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Some versions of relative paracompactness and their absolute embeddings. (English) Zbl 1199.54144
Summary: We consider some versions of relative paracompactness defined by locally finite (not necessarily open) partial refinements or locally finite closed partial refinements, and also consider closure-preserving cases, such as \(1\)-\(l\!f\)-, \(1\)-\(cp\)-, \(\alpha \)-\(l\!f\)-, \(\alpha \)-\(cp\)-paracompactness and so on.
MSC:
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54D30 Compactness
54C20 Extension of maps
54C25 Embedding
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)
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