Namespaces
Variants
Actions

Difference between revisions of "Pointwise remainder"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Importing text file)
 
(TeX)
 
Line 1: Line 1:
 +
{{TEX|done}}
 
''punctiform remainder''
 
''punctiform remainder''
  
The remainder of a topological space <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p073/p073250/p0732501.png" /> in a compactification <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p073/p073250/p0732502.png" /> of it which is such that every connected compactum in <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/p/p073/p073250/p0732503.png" /> consists of exactly one point (cf. also [[Remainder of a space|Remainder of a space]]).
+
The remainder of a topological space $X$ in a compactification $Y$ of it which is such that every connected compactum in $Y\setminus X$ consists of exactly one point (cf. also [[Remainder of a space|Remainder of a space]]).

Latest revision as of 14:07, 10 April 2014

punctiform remainder

The remainder of a topological space $X$ in a compactification $Y$ of it which is such that every connected compactum in $Y\setminus X$ consists of exactly one point (cf. also Remainder of a space).

How to Cite This Entry:
Pointwise remainder. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pointwise_remainder&oldid=15927
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article