Difference between revisions of "Proximate point"
From Encyclopedia of Mathematics
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− | ''of a set | + | {{TEX|done}} |
+ | ''of a set $A$ in a [[Topological space|topological space]] $X$'' | ||
− | A point | + | 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|Closure of a set]]). |
Latest revision as of 17:15, 11 April 2014
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=16532
Proximate point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Proximate_point&oldid=16532
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article