Locally compact space
= Locally compact space
{wiki=Locally_compact_space}
In topology, a **locally compact space** is a topological space that, at each point, resembles compact spaces in some way. More formally, a topological space \\( X \\) is said to be locally compact if every point in \\( X \\) has a neighborhood that is compact. Here's a breakdown of the concept: 1. **Neighborhood**: A neighborhood of a point \\( x \\in X \\) is any open set that contains \\( x \\).