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Shape theory : the inverse system approach / S. Mardešić, J. Segal.

By: Contributor(s): Series: North-Holland mathematical library ; v. 26.1982Description: 1 online resource (xv, 378 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780080960142
  • 0080960146
Subject(s): Genre/Form: Additional physical formats: Print version:: Shape theory.LOC classification:
  • QA612.7 .M35 1982
Online resources:
Contents:
Front Cover; Shape Theory: The Inverse System Approach; Copyright Page; Dedication; PREFACE; Table of Contents; INTRODUCTION; CHAPTER I. FOUNDATIONS OF SHAPE THEORY; 1. PRO-CATEGORIES; 2. ABSTRACT SHAPE; 3. ABSOLUTE NEIGHBORHOOD RETRACTS; 4. TOPOLOGICAL SHAPE; 5. INVERSE LIMITS AND SHAPE OF COMPACTA; 6. RESOLUTIONS OF SPACES AND SHAPE; CHAPTER II. SHAPE INVARIANTS; 1. SHAPE DIMENSION; 2. PRO-GROUPS; 3. HOMOTOPY AND HOMOLOGY PRO-GROUPS; 4. HUREWICZ THEOREM IN SHAPE THEORY; 5. WHITEHEAD THEOREM IN SHAPE THEORY; 6. MOVABILITY OF PRO-GROUPS; 7. MOVABILITY OF SPACES.
8. n- MOVABILITY OF SPACES9. STABILITY OF SPACES; CHAPTER III. A SURVEY OF SELECTED TOPICS; 1. BASIC TOPOLOGICAL CONSTRUCTIONS AND SHAPE; 2. SHAPE DIMENSION OF METRIC COMPACTA; 3. SHAPE OF COMPACT CONNECTED ABELIAN GROUPS; 4. SHAPE OF THE STONE-ČECH COMPACTIFICATION; 5. LCn DIVISORS AND CONTINUA WITH LCn SHAPE; 6. COMPLEMENT THEOREMS OF SHAPE THEORY; 7. EMBEDDINGS UP TO SHAPE; 8. SHAPE FIBRATIONS; 9. STRONG SHAPE; 10. CELL-LIKE MAPS; APPENDICES; APPENDIX 1: POLYHEDRA; 1. TOPOLOGY OF SIMPLICIAL COMPLEXES; 2. THE HOMOTOPY TYPE OF POLYHEDRA; 3. THE ČECH EXPANSION.
Appendix 2. borsuk's approach to shape1. shape category of metric compacta; 2. shape category of compact metric pairs; bibliography; list of special symbols; subject index.
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  • digitized 2010 HathiTrust Digital Library committed to preserve
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Includes bibliographical references (pages 341-371) and index.

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Print version record.

Front Cover; Shape Theory: The Inverse System Approach; Copyright Page; Dedication; PREFACE; Table of Contents; INTRODUCTION; CHAPTER I. FOUNDATIONS OF SHAPE THEORY; 1. PRO-CATEGORIES; 2. ABSTRACT SHAPE; 3. ABSOLUTE NEIGHBORHOOD RETRACTS; 4. TOPOLOGICAL SHAPE; 5. INVERSE LIMITS AND SHAPE OF COMPACTA; 6. RESOLUTIONS OF SPACES AND SHAPE; CHAPTER II. SHAPE INVARIANTS; 1. SHAPE DIMENSION; 2. PRO-GROUPS; 3. HOMOTOPY AND HOMOLOGY PRO-GROUPS; 4. HUREWICZ THEOREM IN SHAPE THEORY; 5. WHITEHEAD THEOREM IN SHAPE THEORY; 6. MOVABILITY OF PRO-GROUPS; 7. MOVABILITY OF SPACES.

8. n- MOVABILITY OF SPACES9. STABILITY OF SPACES; CHAPTER III. A SURVEY OF SELECTED TOPICS; 1. BASIC TOPOLOGICAL CONSTRUCTIONS AND SHAPE; 2. SHAPE DIMENSION OF METRIC COMPACTA; 3. SHAPE OF COMPACT CONNECTED ABELIAN GROUPS; 4. SHAPE OF THE STONE-ČECH COMPACTIFICATION; 5. LCn DIVISORS AND CONTINUA WITH LCn SHAPE; 6. COMPLEMENT THEOREMS OF SHAPE THEORY; 7. EMBEDDINGS UP TO SHAPE; 8. SHAPE FIBRATIONS; 9. STRONG SHAPE; 10. CELL-LIKE MAPS; APPENDICES; APPENDIX 1: POLYHEDRA; 1. TOPOLOGY OF SIMPLICIAL COMPLEXES; 2. THE HOMOTOPY TYPE OF POLYHEDRA; 3. THE ČECH EXPANSION.

Appendix 2. borsuk's approach to shape1. shape category of metric compacta; 2. shape category of compact metric pairs; bibliography; list of special symbols; subject index.

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