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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.
 
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.
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Every group G can be turned into a topological group by giving G the [[discrete topology]].  Every topological group is [[completely regular]].
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[[category: mathematics]]
 
[[category: mathematics]]
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