Difference between revisions of "Regular space"

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The subspace of a regular space is a regular space; the product of 2 regular spaces is a regular space.  
 
The subspace of a regular space is a regular space; the product of 2 regular spaces is a regular space.  
[[Category:Mathematics]]
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[[category: Topology]]

Revision as of 16:55, April 1, 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.