S36 - Hausdorff, so it is locally compact Hausdorff,...

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1st December 2004 Munkres § 36 Ex. 36.1. Any locally euclidean space is locally compact (as open subspaces of euclidean space are locally compact [Cor 29.3]). A manifold is locally euclidean and
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Unformatted text preview: Hausdorff, so it is locally compact Hausdorff, hence regular [Ex 32.3]. A manifold also has a countable basis, so it is normal [Thm 32.1] and metrizable [Thm 34.1]. References 1...
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This note was uploaded on 01/12/2011 for the course MATH 110 taught by Professor Brown during the Fall '08 term at Arizona Western College.

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