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Kernel of a set

From Encyclopedia of Mathematics
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open kernel of a set

The set of all interior points of . If and are mutually complementary sets in a topological space , that is, if , then and , where denotes the closure of (cf. Closure of a set).


Comments

is usually called the interior of (cf. Interior of a set), and is also denoted by and . The word "kernel" is seldom used in the English mathematical literature in this context.

How to Cite This Entry:
Kernel of a set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Kernel_of_a_set&oldid=33575
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article