Separable space: Difference between revisions
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{{topospace property}} | {{topospace property}} | ||
{{variationof|countability}} | |||
==Definition== | ==Definition== | ||
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A [[topological space]] is said to be '''separable''' if it has a countable [[dense subset]]. | A [[topological space]] is said to be '''separable''' if it has a countable [[dense subset]]. | ||
==Relation with other properties== | |||
===Stronger properties=== | |||
* [[Second-countable space]] | |||
Revision as of 18:27, 26 October 2007
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
This is a variation of countability. View other variations of countability
Definition
Symbol-free definition
A topological space is said to be separable if it has a countable dense subset.