Theory of convex structures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
North-Holland
1993
|
| Series: | North-Holland mathematical library
50 |
| Subjects: | |
| Online Access: | DE-523 DE-91 DE-473 DE-706 DE-824 DE-29 Volltext |
| Item Description: | Includes bibliographical references (pages 507-528) and index 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) and of geodesically convex sets (Menger) are directly inspired by intuition; they go back to the first half of this century. An axiomatic approach started to develop in the early Fifties. The author became attracted to it in the mid-Seventies, resulting in the present volume, in which graphs appear side-by-side with Banach spaces, classical geometry with matroids, and ordered sets with metric spaces. A wide variety of results has been included (ranging for instance from the area of partition calculus to that of continuous selection). The tools involved are borrowed from areas ranging from discrete mathematics to infinite-dimensional topology. Although addressed primarily to the researcher, parts of this monograph can be used as a basis for a well-balanced, one-semester graduate course |
| Physical Description: | 1 Online-Ressource (xv, 540 Seiten) |
| ISBN: | 9780080933108 0080933106 0444815058 9780444815057 1282258494 9781282258495 |
Staff View
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| indexdate | 2024-09-13T14:00:31Z |
| institution | BVB |
| isbn | 9780080933108 0080933106 0444815058 9780444815057 1282258494 9781282258495 |
| language | English |
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| spelling | Vel, Marcel van de 1948- Verfasser (DE-588)172489075 aut Theory of convex structures M.L.J. van de Vel Amsterdam North-Holland 1993 1 Online-Ressource (xv, 540 Seiten) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematical library 50 Includes bibliographical references (pages 507-528) and index 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) and of geodesically convex sets (Menger) are directly inspired by intuition; they go back to the first half of this century. An axiomatic approach started to develop in the early Fifties. The author became attracted to it in the mid-Seventies, resulting in the present volume, in which graphs appear side-by-side with Banach spaces, classical geometry with matroids, and ordered sets with metric spaces. A wide variety of results has been included (ranging for instance from the area of partition calculus to that of continuous selection). The tools involved are borrowed from areas ranging from discrete mathematics to infinite-dimensional topology. Although addressed primarily to the researcher, parts of this monograph can be used as a basis for a well-balanced, one-semester graduate course Geometry MATHEMATICS / Geometry / General bisacsh Convex domains fast Ensembles convexes ram Convex domains Konvexität (DE-588)4114284-6 gnd rswk-swf Konvexe Menge (DE-588)4165212-5 gnd rswk-swf Konvexe Fläche (DE-588)4243527-4 gnd rswk-swf Konvexe Fläche (DE-588)4243527-4 s DE-604 Konvexität (DE-588)4114284-6 s Konvexe Menge (DE-588)4165212-5 s North-Holland mathematical library 50 (DE-604)BV023066394 50 http://www.sciencedirect.com/science/book/9780444815057 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Vel, Marcel van de 1948- Theory of convex structures North-Holland mathematical library Geometry MATHEMATICS / Geometry / General bisacsh Convex domains fast Ensembles convexes ram Convex domains Konvexität (DE-588)4114284-6 gnd Konvexe Menge (DE-588)4165212-5 gnd Konvexe Fläche (DE-588)4243527-4 gnd |
| subject_GND | (DE-588)4114284-6 (DE-588)4165212-5 (DE-588)4243527-4 |
| title | Theory of convex structures |
| title_auth | Theory of convex structures |
| title_exact_search | Theory of convex structures |
| title_full | Theory of convex structures M.L.J. van de Vel |
| title_fullStr | Theory of convex structures M.L.J. van de Vel |
| title_full_unstemmed | Theory of convex structures M.L.J. van de Vel |
| title_short | Theory of convex structures |
| title_sort | theory of convex structures |
| topic | Geometry MATHEMATICS / Geometry / General bisacsh Convex domains fast Ensembles convexes ram Convex domains Konvexität (DE-588)4114284-6 gnd Konvexe Menge (DE-588)4165212-5 gnd Konvexe Fläche (DE-588)4243527-4 gnd |
| topic_facet | Geometry MATHEMATICS / Geometry / General Convex domains Ensembles convexes Konvexität Konvexe Menge Konvexe Fläche |
| url | http://www.sciencedirect.com/science/book/9780444815057 |
| volume_link | (DE-604)BV023066394 |
| work_keys_str_mv | AT velmarcelvande theoryofconvexstructures |