On Preclosed Sets and Their Generalizations

Jiling Cao, Maximilian Ganster, Chariklia Konstadilaki and Ivan L. Reilly


This paper continues the study of preclosed sets and of generalized
preclosed sets in a topological space. Our main objective is to
establish results about the relationships between the various types
of generalized closed sets. As a by-product, we are able to provide
characterizations of certain known classes of topological spaces by
using preclosed sets and their generalizations.

$gp$-closed set, $T_{gs}$-space, extremally disconnected.

Math Review Classification
Primary 54A05, 54D10 ; Secondary 54F65, 54G05

Last Updated
30 June, 1999

10 pages

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