Topological abelian group
From Free net encyclopedia
(Difference between revisions)
| Revision as of 16:53, 21 April 2006 Elroch (Talk | contribs) Add category ← Previous diff |
Current revision Elroch (Talk | contribs) Add category |
Current revision
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.
[edit]
See also
[edit]
References
- Fourier analysis on Groups, by Walter Rudin.
