Mardesic / Marde?ic / Segal Shape Theory

The Inverse System Approach
1. Auflage 1982
ISBN: 978-0-08-096014-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 395 Seiten, Web PDF

Reihe: ISSN

Shape Theory

Autoren/Hrsg.

Mardesic, S.

Marde?ic, S.

Segal, J.

Inhaltsverzeichnis

1;Front Cover;1
2;Shape Theory: The Inverse System Approach;4
3;Copyright Page;5
4;Table of Contents;10
5;Dedication;6
6;PREFACE;8
7;INTRODUCTION;14
8;CHAPTER I. FOUNDATIONS OF SHAPE THEORY;18
8.1;§1. PRO-CATEGORIES;20
8.2;§2. ABSTRACT SHAPE;35
8.3;§3. ABSOLUTE NEIGHBORHOOD RETRACTS;50
8.4;§4. TOPOLOGICAL SHAPE;62
8.5;§5. INVERSE LIMITS AND SHAPE OF COMPACTA;71
8.6;§6. RESOLUTIONS OF SPACES AND SHAPE;90
9;CHAPTER II. SHAPE INVARIANTS;110
9.1;§1. SHAPE DIMENSION;112
9.2;§2. PRO-GROUPS;123
9.3;§3. HOMOTOPY AND HOMOLOGY PRO-GROUPS;137
9.4;§4. HUREWICZ THEOREM IN SHAPE THEORY;151
9.5;§5. WHITEHEAD THEOREM IN SHAPE THEORY;160
9.6;§6. MOVABILITY OF PRO-GROUPS;175
9.7;§7. MOVABILITY OF SPACES;195
9.8;§8. n- MOVABILITY OF SPACES;215
9.9;§9. STABILITY OF SPACES;235
10;CHAPTER III. A SURVEY OF SELECTED TOPICS;258
10.1;§1. BASIC TOPOLOGICAL CONSTRUCTIONS AND SHAPE;261
10.2;§2. SHAPE DIMENSION OF METRIC COMPACTA;267
10.3;§3. SHAPE OF COMPACT CONNECTED ABELIAN GROUPS;270
10.4;§4. SHAPE OF THE STONE-CECH COMPACTIFICATION;273
10.5;§5. LCn DIVISORS AND CONTINUA WITH LCn SHAPE;276
10.6;§6. COMPLEMENT THEOREMS OF SHAPE THEORY;279
10.7;§7. EMBEDDINGS UP TO SHAPE;285
10.8;§8. SHAPE FIBRATIONS;287
10.9;§9. STRONG SHAPE;294
10.10;§10. CELL-LIKE MAPS;300
11;APPENDICES;304
11.1;APPENDIX 1: POLYHEDRA;306
11.1.1;§1. TOPOLOGY OF SIMPLICIAL COMPLEXES;306
11.1.2;§2. THE HOMOTOPY TYPE OF POLYHEDRA;327
11.1.3;§3. THE CECH EXPANSION;341
11.2;APPENDIX 2. BORSUK'S APPROACH TO SHAPE;346
11.2.1;§1. SHAPE CATEGORY OF METRIC COMPACTA;346
11.2.2;§2. SHAPE CATEGORY OF COMPACT METRIC PAIRS;353
12;BIBLIOGRAPHY;358
13;LIST OF SPECIAL SYMBOLS;389
14;SUBJECT INDEX;392