Proximate point
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
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
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