**AMS Chelsea Publishing**

Volume: 362;
1986;
317 pp;
Hardcover

MSC: Primary 57;
Secondary 54

Print ISBN: 978-0-8218-4372-7

Product Code: CHEL/362.H

List Price: $51.00

Individual Member Price: $45.90

**Electronic ISBN: 978-1-4704-3119-8
Product Code: CHEL/362.H.E**

List Price: $51.00

Individual Member Price: $45.90

#### Supplemental Materials

# Decompositions of Manifolds

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*Robert J. Daverman*

Decomposition theory studies decompositions, or partitions, of manifolds into simple pieces, usually cell-like sets. Since its inception in 1929, the subject has become an important tool in geometric topology. The main goal of the book is to help students interested in geometric topology to bridge the gap between entry-level graduate courses and research at the frontier as well as to demonstrate interrelations of decomposition theory with other parts of geometric topology. With numerous exercises and problems, many of them quite challenging, the book continues to be strongly recommended to everyone who is interested in this subject. The book also contains an extensive bibliography and a useful index of key words, so it can also serve as a reference to a specialist.

#### Table of Contents

# Table of Contents

## Decompositions of Manifolds

- Cover Cover11
- Title page iii4
- Contents v6
- Preface ix10
- Acknowledgments xi12
- Introduction 114
- Preliminaries 720
- The shrinkability criterion 2235
- Cell-like decompositions of absolute neighborhood retracts 113126
- The cell-like approximation theorem 148161
- Shrinkable decompositions 190203
- Nonshrinkable decompositions 239252
- Applications to manifolds 264277
- References 303316
- Index 313326
- Back Cover Back Cover1336

#### Readership

Graduate students and research mathematicians interested in geometric topology.

#### Reviews

Throughout the text, at the end of paragraphes, there are exercises, problems and (open) questions, ranging from simple to quite challenging. This is the second edition of an excellent textbook, a contribution to the mathematical literature concerning decompositions of manifolds, a text deserving further individual pursuit and a substantial background for successfully doing research in this area.

`GSM/106`

Throughout the text, at the end of paragraphes, there are exercises, problems and (open) questions, ranging from simple to quite challenging. This is the second edition of an excellent textbook, a contribution to the mathematical literature concerning decompositions of manifolds, a text deserving further individual pursuit and a substantial background for successfully doing research in this area.

`GSM/106`

-- Zentralblatt MATH