Locally closed set

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2010 Mathematics Subject Classification: Primary: 54B05 [MSN][ZBL]

in a topological space $X$

A subset of $X$ that is the intersection of an open set and a closed set in $X$: equivalently, a subset that is relatively open in its closure in $X$.

A submaximal space is one in which every subset is locally closed.


How to Cite This Entry:
Locally closed set. Encyclopedia of Mathematics. URL: