1991•Journal of the Australian Mathematical Society Series A Pure Mathematics and StatisticsOpen access

Characterizations of s-closed Hausdorff spaces

Takashi Noiri

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Abstract

A topological space X is said to be S-closed if every cover of X by regular closed sets of X has a finite subcover. In this note some characterizations of S-closed Hausdorff spaces are obtained.

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A topological space X is said to be S-closed if every cover of X by regular closed sets of X has a finite subcover. In this note some characterizations of S-closed Hausdorff spaces are obtained.

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Available abstract

A topological space X is said to be S-closed if every cover of X by regular closed sets of X has a finite subcover. In this note some characterizations of S-closed Hausdorff spaces are obtained.

Key concepts: Hausdorff space, Mathematics, Normal space, Urysohn and completely Hausdorff spaces, Topological space, Cover (algebra), Paracompact space, Regular space

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