Theory of Convex Structures

Kobo ebook | August 1, 1993

byvan de Vel, M.L.J.

not yet rated|write a review
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.

Pricing and Purchase Info

$73.79 online
$95.73 list price (save 22%)
Available for download
Not available in stores

From the Publisher

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...

Format:Kobo ebookPublished:August 1, 1993Publisher:North HollandLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0080933106

ISBN - 13:9780080933108

Look for similar items by category:

Customer Reviews of Theory of Convex Structures

Reviews