Difference between revisions of "Regular space"
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Regular space is a Hausdorff [[topological space]] in which, given any closed set F and any point x that does not belong to F, there exist an open set U of x and an open set V of F that are disjoint. | Regular space is a Hausdorff [[topological space]] in which, given any closed set F and any point x that does not belong to F, there exist an open set U of x and an open set V of F that are disjoint. | ||
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| + | The subspace of a regular space is a regular space; the product of 2 regular spaces is a regular space. | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 22:04, March 22, 2007
Regular space is a Hausdorff topological space in which, given any closed set F and any point x that does not belong to F, there exist an open set U of x and an open set V of F that are disjoint.
The subspace of a regular space is a regular space; the product of 2 regular spaces is a regular space.