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On the collectionwise normality of generalized manifolds. (English) Zbl 0389.54013

MSC:
 54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) 54D45 Local compactness, $$\sigma$$-compactness 54D05 Connected and locally connected spaces (general aspects) 54E30 Moore spaces 57N20 Topology of infinite-dimensional manifolds 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)