The purpose of this note is to give a proof of the fact that finite dimensional topological vectorspaces (over a complete normed division ring) have only one possible topology, as well as related facts, such as a locally compact tvs is necessarily finite dimensional. Many of these facts can be found in Paul Garrett’s notes - Quotient algebra - Document - PDFSEARCH.IO

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Date: 2004-11-30 18:22:49 Linear algebra Functional analysis General topology Mathematical structures Topological vector space Quotient space Vector space Compact space Locally convex topological vector space Topology Algebra Mathematics		The purpose of this note is to give a proof of the fact that finite dimensional topological vectorspaces (over a complete normed division ring) have only one possible topology, as well as related facts, such as a locally compact tvs is necessarily finite dimensional. Many of these facts can be found in Paul Garrett’s notes Add to Reading List Source URL: www.math.umn.edu Download Document from Source Website File Size: 63,97 KB Share Document on Facebook

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