Closed imbeddings in pseudocompact spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1987 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 41, pages 217-226 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Matveev, M. V.;

doi: 10.1007/bf01158252

Closed imbeddings in pseudocompact spaces

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Abstract

\textit{N. Noble} [Czech. Math. J. 19(94), 390-397 (1969; Zbl 0184.477)] has shown that every completely regular space X can be embedded as a closed subspace into some pseudo-compact space \(\bar X.\) The present author gives constructions of the space \(\bar X\) such that \(\bar X\) preserves various properties of X.

Related Organizations

Lomonosov Moscow State University
Russian Federation

Keywords

closed embedding, Compactness, pseudo-compact space, Extension of maps

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