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On relative properties of paracompactness and normality type. (English. Russian original) Zbl 0791.54007
Mosc. Univ. Math. Bull. 46, No. 1, 31-32 (1991); translation from Vestn. Mosk. Univ., Ser. I 1991, No. 1, 42-44 (1991).
Summary: Relative topological properties like paracompactness and normality are considered which characterize the position of a subspace in the containing topological space [see also A. V. Arkhangel’skij and Kh. M. M. Genedi, Mosc. Univ. Math. Bull. 44, No. 6, 67-69 (1989); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 6, 67-69 (1989; Zbl 0745.54003)]. Tamano’s theorem and the theorem on star normality of the paracompact Hausdorff space are extended to the case of relative properties.

MSC:
54B05 Subspaces in general topology
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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