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Embeddings into (a)-spaces and acc spaces

✍ Scribed by M.V. Matveev

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 416 KB
Volume: 80
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00160-5

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✦ Synopsis

A space X is said to be an (a)-space provided that for every open cover U of X and every dense subspace D of X there exists a closed in X and discrete subspace F c D such that St(F,U) = X. We show that every Tychonoff space can be represented as a closed subspace of a Tychonoff (a)-space. Also we consider closed Gb-subspaces.

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