Separable space
id:
separable-space-297-9342326
title:
Separable space
text:
In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence { x n } n = 1 ∞ of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence. Like the other axioms of countability, separability is a "limitation on size", not necessarily in terms of cardinality but in a more subtle topological sense. In particular, every continuous function on a separable space whose imag
brand slug:
wiki
category slug:
encyclopedia
description:
Topological space with a dense countable subset
original url:
https://en.wikipedia.org/wiki/Separable_space
date created:
date modified:
2024-03-02T12:06:45Z
main entity:
{"identifier":"Q680081","url":"https://www.wikidata.org/entity/Q680081"}
image:
fields total:
13
integrity:
14