Infinite-Dimensional Topology, Volume 43 - Prerequisites and Introduction (Hardcover)

The first part of this book is a text for graduate courses in topology. In chapters 1 - 5, part of the basic material of plane topology, combinatorial topology, dimension theory and ANR theory is presented. For a student who will go on in geometric or algebraic topology this material is a prerequisite for later work. Chapter 6 is an introduction to infinite-dimensional topology; it uses for the most part geometric methods, and gets to spectacular results fairly quickly. The second part of this book, chapters 7 & 8, is part of geometric topology and is meant for the more advanced mathematician interested in manifolds.
The text is self-contained for readers with a modest knowledge of general topology and linear algebra; the necessary background material is collected in chapter 1, or developed as needed.
One can look upon this book as a complete and self-contained proof of Toruńczyk's Hilbert cube manifold characterization theorem: "a compact ANR X is a manifold modeled on the Hilbert cube if and only if X satisfies the disjoint-cells property." In the process of proving this result several interesting and useful detours are made.

General

Imprint:	North-Holland
Country of origin:	United States
Series:	North-Holland Mathematical Library
Release date:	December 1988
First published:	1989
Authors:	J Van Mill
Dimensions:	234 x 156 x 25mm (L x W x T)
Format:	Hardcover
Pages:	416
ISBN-13:	978-0-444-87133-6
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > General Books > Academic & Education > Professional & Technical > Mathematics Promotions
LSN:	0-444-87133-0
Barcode:	9780444871336

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