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topological abelian group
In mathematics, a topological abelian group, or TAG, is a topological group that is also an abelian group.
That is, a TAG is both a group and a topological space, the group operations are continuous, and the group's binary operation is commutative.
The theory of topological groups applies also to TAGs, but more can be done with TAGs. Locally compact TAGs, in particular, are used heavily in harmonic analysis.
==See also==
* Fourier transform
* Haar measure
* Pontryagin duality
* Protorus, a topological abelian group that is compact and connected
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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