Theory of Convex Structures - 1st Edition - ISBN: 9780444815057, 9780080933108

Theory of Convex Structures, Volume 50

1st Edition

Authors: M.L.J. van de Vel
Hardcover ISBN: 9780444815057
eBook ISBN: 9780080933108
Imprint: North Holland
Published Date: 2nd August 1993
Page Count: 539
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Table of Contents

Introduction. List of Frequent Symbols. I. Abstract Convex Structures. Basic concepts. The Hull operator. Half-spaces and separation. Interval spaces. Base-point orders. Modular spaces. Bryant-Webster spaces. II. Convex Invariants. Classical convex invariants. Invariants and product spaces. Invariants in other constructions. Infinite combinatorics. Tverberg numbers. III. Topological Convex Structures. Topology and convexity on the same set. Continuity of the Hull operator. Uniform convex structures. Topo-convex separation. Intrinsic topology. IV. Miscellaneous. Embedding Bryant-Webster spaces into vector spaces. Extremality, pseudo-boundary and pseudo-interior. Continuous selection. Dimension theory. Dimension and convex invariants. Fixed points.

Bibliography. Index of Terms.


Description

Introduction. List of Frequent Symbols. I. Abstract Convex Structures. Basic concepts. The Hull operator. Half-spaces and separation. Interval spaces. Base-point orders. Modular spaces. Bryant-Webster spaces. II. Convex Invariants. Classical convex invariants. Invariants and product spaces. Invariants in other constructions. Infinite combinatorics. Tverberg numbers. III. Topological Convex Structures. Topology and convexity on the same set. Continuity of the Hull operator. Uniform convex structures. Topo-convex separation. Intrinsic topology. IV. Miscellaneous. Embedding Bryant-Webster spaces into vector spaces. Extremality, pseudo-boundary and pseudo-interior. Continuous selection. Dimension theory. Dimension and convex invariants. Fixed points.

Bibliography. Index of Terms.


Details

No. of pages:
539
Language:
English
Copyright:
© North Holland 1993
Published:
Imprint:
North Holland
eBook ISBN:
9780080933108
Hardcover ISBN:
9780444815057

About the Authors

M.L.J. van de Vel Author

Affiliations and Expertise

Free University, Department of Mathematics and Computer Science, Amsterdam, The Netherlands