Comments:

75 pages.2008

Abstract:

Author's Contents: an introduction to general topology. "Chapter 0. Introduction 5 Chapter 1. Sets and maps 7 1. Sets, functions and relations 7 Classification (See MSC): 54D05 - Connected and locally connected spaces (general aspects) 54D10 - Lower separation axioms ($T_0$--$T_3$, etc.) 54D15 - Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) 54D20 - Noncompact covering properties (paracompact, Lindelorf, etc.) 54D25 - ``$P$-minimal'' and ``$P$-closed'' spaces 54D30 - Compactness 54D35 - Extensions of spaces (compactifications, supercompactifications, completions, etc.) 54D40 - Remainders 54D45 - Local compactness, $\sigma$-compactness 54D50 - $k$-spaces 54D55 - Sequential spaces 54D60 - Realcompactness and realcompactification 54D65 - Separability 54D70 - Base properties 54D80 - Special constructions of spaces (spaces of ultrafilters, etc.)

Rights:

open access http://www.math.ku.dk/~moller/e03/3gt/notes/gtnotes. pdf

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