Infinite-Dimensional Topology : Prerequisites and Introduction Volume 43 Hardback
by J. (Vrije Universiteit, Department of Mathematics and Computer Science, Amsterdam, The Net van Mill
Part of the North-Holland Mathematical Library series
Hardback
Description
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.
Information
-
Out of stock
- Format:Hardback
- Pages:416 pages, 1
- Publisher:Elsevier Science & Technology
- Publication Date:01/12/1988
- Category:
- ISBN:9780444871336
Information
-
Out of stock
- Format:Hardback
- Pages:416 pages, 1
- Publisher:Elsevier Science & Technology
- Publication Date:01/12/1988
- Category:
- ISBN:9780444871336
