Difference between revisions of "Topological group"

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[[category: mathematics]]
 
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[[Category:Algebra]]

Revision as of 16:49, April 1, 2007

A topological group is a topological space that is also a group such that the binary operation defined on the group is a continuous map.

Every group G can be turned into a topological group by giving G the discrete topology. Every topological group is a completely regular space.