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Shape theory : the inverse system approach /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y. :
North-Holland Pub. Co. ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1982.
|
| Colección: | North-Holland mathematical library ;
v. 26. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- 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-�CECH 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 �CECH 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.