Title Statements
- Full title :Shape theory : the inverse system approach / S. Mardešić, J. Segal.
Edition Statements
- Publication Date:1982.
Publication Statements
- Publisher(s):North-Holland Pub. Co, Sole distributors for the USA and Canada, Elsevier Science Pub. Co
- Place of Publication:Amsterdam
- Language:eng
- Publication Date:1982.
The Physical Object
- Description:1 online resource (xv, 378 pages) : : illustrations
Edition Identifiers
- ISBN:9780080960142, 0080960146, 1322641137, 9781322641133
- oclc:ocn610212561
- LC Classification:QA612.7
- Dewey Decimal:514/.24
Table of 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 m…
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