Alexandroff extension
id:
alexandroff-extension-252-3086472
title:
Alexandroff extension
text:
In the mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such a way that the resulting space is compact. It is named after the Russian mathematician Pavel Alexandroff.
More precisely, let X be a topological space. Then the Alexandroff extension of X is a certain compact space X* together with an open embedding c : X → X* such that the complement of X in X* consists of a single point, typically denoted ∞. The
brand slug:
wiki
category slug:
encyclopedia
description:
Way to extend a non-compact topological space
original url:
https://en.wikipedia.org/wiki/Alexandroff_extension
date created:
date modified:
2024-02-13T20:42:18Z
main entity:
{"identifier":"Q864919","url":"https://www.wikidata.org/entity/Q864919"}
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fields total:
13
integrity:
14