locally compact in a sentence

Examples

1. For instance, this happens for the Hecke algebra of a locally compact group.
2. One-point compactification extends this definition to locally compact spaces without base points:
3. I've never seen Pontryagin duality defined for non-locally compact groups.
4. These all coincide on spaces that are locally compact ?-compact Hausdorff spaces.
5. is continuous when Y ^ X is compact-open and Y locally compact Hausdorff.
6. Every locally compact Hausdorff space is Tychonoff.
7. However, there is a straightfoward generalization to Locally Compact Abelian ( LCA ) groups.
8. The following books have chapters on locally compact abelian groups, duality and Fourier transform.
9. Namely, if a topological vector space is finite dimensional, it is locally compact.
10. If the space is locally compact then every open set is measurable for this measure.