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Lectures on controlled topology: mapping cylinder neighborhoods

2002/01/22 by Frank Quinn, Quinn, Frank
Mathematics · #55R65 #57N15 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #math.AT #math.GT #msc:55R65 #msc:57N15

paper · pdf · doi:10.48550/arxiv.math/0201212

19 pages, one figure

arxiv created 2002/01/22 · arxiv updated 2009/11/30

Abstract

The existence theorem for mapping cylinder neighborhoods is discussed as a prototypical example of controlled topology and its applications. The first of a projected series developed from lectures at the Summer School on High-Dimensional Topology, Trieste Italy 2001

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