A Result on $aleph_1$-Compact Spaces

A.M. Mohamad

Abstract

In this note, we prove that every countably compact space with
quasi--$S_1$--diagonal is compact. However, it is shown that it need not be
metrizable.

Keywords
compact; countably compact; quasi-$S_1$; $aleph_1$-compact.

Math Review Classification
Primary 54E30, 54E35

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Length
5 pages

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