locally compact in a sentence

Examples

1. More generally, every locally compact, almost connected group is the projective limit of a Lie group.
2. In the special case when " R " is the ring of locally compact abelian group.
3. Of particular importance is the C *-algebra of a locally compact group " G ".
4. The special case of invariant measure for second countable locally compact groups had been shown by Haar in 1933.
5. For a locally compact abelian group " G ", every irreducible unitary representation has dimension 1.
6. It follows that a noncompact Tychonoff space admits a minimal compactification if and only if it is locally compact.
7. Indeed, a Hausdorff manifold is a locally compact Hausdorff space, hence it is ( completely ) regular.
8. Locally compact groups which are connected, locally compact groups " G " are ?-compact.
9. Locally compact groups which are connected, locally compact groups " G " are ?-compact.
10. In a locally compact, totally disconnected group, every neighbourhood of the identity contains a compact open subgroup.