# Interior point of a set

From Encyclopedia of Mathematics

*in a topological space*

A point which belongs to the given set together with some open set which contains it. If is an interior point of a set , then is said to be a neighbourhood of the point in the broad sense.

**How to Cite This Entry:**

Interior point of a set.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Interior_point_of_a_set&oldid=17856

This article was adapted from an original article by S.M. Sirota (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article