Difference between revisions of "Completely regular space"
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m (New page: A topological space X is completely regular if singleton sets are closed in X and any point x in X and any closed subset B of X not containing x can be seperated by a continuous functi...) |
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| − | A [[topological space]] X is completely regular if singleton sets are closed in X and any point x in X and any closed subset B of X not containing x can be seperated by a continuous function. | + | A [[topological space]] X is completely regular if singleton sets are closed in X and any point x in X and any closed subset B of X not containing x can be seperated by a [[continuous function]]. |
The subspace of a completely regular space is a completely regular space; the product of 2 completely regular spaces is a completely regular space. | The subspace of a completely regular space is a completely regular space; the product of 2 completely regular spaces is a completely regular space. | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 22:17, March 22, 2007
A topological space X is completely regular if singleton sets are closed in X and any point x in X and any closed subset B of X not containing x can be seperated by a continuous function.
The subspace of a completely regular space is a completely regular space; the product of 2 completely regular spaces is a completely regular space.