North-Holland Mathematical Library: Theory of Convex Structures 50 by M. L. J. van de Vel (1993, Hardcover)

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Presented in this monograph is the current state-of-the-art in the theory of convex structures

• Theory Of Convex Structures available on May 03 2016 from VitalSource for itemprop="offers" target="_external" title="" itemscope itemtype="http://schema.org/Offer">72.95
  
• ISBN bar code 9780444815057 ξ1 registered February 17 2017
  
• ISBN bar code 9780444815057 ξ2 registered May 03 2016
  
• Product category is Book

• Sku # 9780444815057
  

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.

^ M.L.J. Van De VelNorth-Holland Mathematical Library: Theory of Convex Structures 50 by M. L. J. van de Vel (1993, Hardcover) ISBN 9780444815057 (revised May 2018)
^ Theory Of Convex Structures VitalSource. ISBN 9780444815057 (revised May 2016)