Theory of Convex Structures PDF
By:M.L.J. van de Vel
Published on 1993-08-02 by Elsevier
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.
This Book was ranked at 31 by Google Books for keyword Structures.
Book ID of Theory of Convex Structures's Books is oDUmytVzSPMC, Book which was written byM.L.J. van de Velhave ETAG "fZZrWus1ijk"
Book which was published by Elsevier since 1993-08-02 have ISBNs, ISBN 13 Code is 9780080933108 and ISBN 10 Code is 0080933106
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Book which have "539 Pages" is Printed at BOOK under CategoryMathematics
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