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Theory of convex structures /
Presented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is not restricted to the context of vector spaces. Classical concepts of order-convex sets (Birkhoff) an...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
North-Holland,
1993.
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| Colección: | North-Holland mathematical library ;
v. 50. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Theory of Convex Structures; Copyright Page; Introduction; Table of Contents; List of frequent Symbols; Chapter I Abstract Convex Structures; 1. Basic Concepts; 2. The Hull Operator; 3. Half-spaces and Separation; 4. Interval Spaces; 5. Base-point Orders; 6. Modular Spaces; 7. Bryant-Webster Spaces; Chapter II Convex Invariants; 1. Classical Convex Invariants; 2. Invariants and Product Spaces; 3. Invariants in other Constructions; 4. Infinite Combinatorics; 5. Tverberg Numbers; Chapter III Topological Convex Structures; 1. Topology and Convexity on the same Set
- 2. Continuity of the Hull Operator3. Uniform Convex Structures; 4. Top-convex Separation; 5. Intrinsic Topology; Chapter IV Miscellaneous; 1. Embedding Bryant-Webster Spaces into Vector Spaces; 2. Extremality, Pseudo-boundary and Pseudo-interior; 3. Continuous Selection; 4. Dimension Theory; 5. Dimension and Convex Invariants; 6. Fixed Points; Bibliography; Index of Terms