# Proximate point

From Encyclopedia of Mathematics

*of a set $A$ in a topological space $X$*

A point $x$ such that every neighbourhood of it has non-empty intersection with $A$. The set of all proximate points forms the closure $[A]$, or $\bar A$, of $A$ (cf. Closure of a set).

**How to Cite This Entry:**

Proximate point.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Proximate_point&oldid=31526

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