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Item Details
| Title:
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INFINITE-DIMENSIONAL TOPOLOGY
PREREQUISITES AND INTRODUCTION |
| Volume: |
Volume 43 |
| By: |
J. Van Mill |
| Format: |
Hardback |
| List price:
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£49.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0444871330 |
| ISBN 13: |
9780444871336 |
| Publisher: |
ELSEVIER SCIENCE & TECHNOLOGY |
| Pub. date: |
1 December, 1988 |
| Series: |
North-Holland Mathematical Library |
| Pages: |
416 |
| Description: |
Presents part of the basic material of plane topology, combinatorial topology, dimension theory and ANR theory. This title provides an introduction to infinite-dimensional topology; it uses for the most part geometric methods. It also presents a part of geometric topology which is meant for the more advanced mathematician interested in manifolds. |
| Synopsis: |
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. |
| Illustrations: |
1 |
| Publication: |
US |
| Imprint: |
North-Holland |
| Returns: |
Non-returnable |
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