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#+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.
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