Name: On hard sets
Creator: Marlon C. Rayburn
Keywords: Extensions of spaces (compactifications, supercompactifications, completions, etc.), C-embedding, compact, quotient map, complementatively realcompact, perfect map, realcompact, Realcompactness and realcompactification, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1976 English Publisher:Elsevier BVJournal:General Topology and its Applications, volume 6, pages 21-26 (issn: 0016-660X,

Authors: Marlon C. Rayburn;

doi: 10.1016/0016-660x(76)90004-0

On hard sets

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Abstract

AbstractHard sets, a class between compact sets and realcompact closed sets, are introduced and some of their properties are studied. As an application, a necessary and sufficient condition for the quotient of a realcompact space to be realcompact is found in terms of hard sets.

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University of Manitoba
Canada

Keywords

Extensions of spaces (compactifications, supercompactifications, completions, etc.), C-embedding, compact, quotient map, complementatively realcompact, perfect map, realcompact, Realcompactness and realcompactification

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