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. |
Keywords
$gp$-closed set, $T_{gs}$-space, extremally disconnected.
Math Review Classification
Primary 54A05, 54D10
; Secondary 54F65, 54G05
Last Updated
30 June, 1999
Length
10 pages
Availability
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