:PROPERTIES:
:ID:       e0c63828-18a6-48b1-a3ad-3126a9b78102
:END:
#+title: Locally Compact Hausdorff
#+author: Preston Pan
#+description: the LCH king will rise again
#+options: broken-links:t

* Introduction
A locally compact Hausdorff space is a Hausdorff space in which every point has a [[id:e4ac2e89-1975-40de-9d6a-98281a3ca83e][compact neighbourhood]]. In particular, the [[id:339b32e7-ad89-40d7-8b11-5b293bd1056f][One Point Compactification]]
of a locally compact Hausdorff space is compact Hausdorff, so they are interesting to study for that reason.