Definition:Locally Compact Topological Group/Definition 1

Definition

Let $\struct {G, \odot, \tau}$ be a topological group.

We say that $\struct {G, \odot, \tau}$ is a locally compact topological group if and only if $\struct {G, \tau}$ is a locally compact Hausdorff space.

Sources

• 2013: Donald L. Cohn: Measure Theory (2nd ed.) ... (previous) ... (next): $9.1$: Topological Groups