“Topological abelian group”的意思、由来-开放百科全书

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Topological abelian group

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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.

References

{{cite book|last=Banaszczyk|first=Wojciech|title=Additive subgroups of topological vector spaces|series=Lecture Notes in Mathematics|volume=1466|publisher=Springer-Verlag|location=Berlin|year= 1991|pages=viii+178|isbn=3-540-53917-4|mr=1119302}}
Fourier analysis on Groups, by Walter Rudin.

2 : Topological groups|Abelian group theory

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