Interior of a set

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in a topological space

The set of interior points of (cf. Interior point of a set). It is usually denoted by . Invariably, , where is the boundary of . The interior of is also equal to the union of all subsets of that are open in the entire space. The interior of a set is sometimes known as the open kernel.

How to Cite This Entry:
Interior of a set. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by S.M. Sirota (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article