In mathematics, compactly generated can refer to:
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Compactly generated group, a topological group which is algebraically generated by one of its compact subsets
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Compactly generated space
In topology, a compactly generated space is a topological space whose topology is coherent with the family of all compact subspaces. Specifically, a topological space ''X'' is compactly generated if it satisfies the following condition:
:A subsp ...
, a topological space whose topology is coherent with the family of all compact subspaces
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Mathematics disambiguation pages