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diff --git a/mindmap/locally compact Hausdorff.org b/mindmap/locally compact Hausdorff.org new file mode 100644 index 0000000..5b9488a --- /dev/null +++ b/mindmap/locally compact Hausdorff.org @@ -0,0 +1,11 @@ +: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. |