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• W2001887287 abstract "In this article, some generalizations of the concept of a p -space are introduced and studied. The notion of a source of a space in a larger space and the concepts of partial plumage, s -embedding, p -embedding, p ⁎ -embedding, s -space, and p ⁎ -space are defined and studied in depth (see Theorems 2.6, 2.7, 3.2, 4.3, 4.4, 4.10 and their corollaries). An example of a hereditarily p ⁎ -space which is not a p -space and is a perfect image of a hereditarily p -space is indicated (Example 2.9). Among the main results, we establish that if a paracompact space X is p -embedded in a pseudocompact space as a dense subspace, then X is a p -space (Corollary 4.8), and that if X has a countable network and is p ⁎ -embedded in a pseudocompact space, then X is metrizable (Corollary 4.11). The following problem is posed: is every paracompact G δ -subspace of a pseudocompact space Čech-complete?" @default.
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• W2001887287 date "2011-08-01" @default.
• W2001887287 modified "2023-10-18" @default.
• W2001887287 title "Some generalizations of the concept of a p-space" @default.
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• W2001887287 doi "https://doi.org/10.1016/j.topol.2011.05.012" @default.
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