locally compact in a sentence

Examples

1. The representation theory for locally compact abelian groups is described by Pontryagin duality.
2. A discrete topological space is locally compact and Hausdorff.
3. In 1961, Kats extended this result to arbitrary locally compact topological groups.
4. Let G be a second countable locally compact group.
5. For locally compact groups, invariance is achievable within certain range of transformations.
6. Proper spaces are locally compact, but the converse is not true in general.
7. The irreducible unitary representations of a locally compact group may be infinite-dimensional.
8. However unlike this field is not locally compact.
9. In what follows " X " denotes a locally compact topological space.
10. The real line \ mathbf { R } is a locally compact abelian group.