Convexity and related combinatorial geometry: Proceedings of the Second University of Oklahoma Conference

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Author(s): David C. Kay, Marilyn Breen (eds.)
Series: Pure and Applied Mathematics #76
Publisher: Marcel Dekker
Year: 1982

Language: English

Title
Preface
Contents
Contributors
Victor Klee: How many steps?
David Barnette: Polyhedral maps on 2-manifolds
Carl W. Lee: Characterizing the numbers of faces of a simplicial convex polytope
Arne Brondsted: A dual proof of the upper bound theorem
G. Thomas Sallee: Euler's relation and where it led
G. D. Chakerian: Mixed volumes and geometric inequalities
Paul Goodey: Intersections of convex sets and surfaces
Wolfgang Spiegel: Nonnegative, motion-invariant valuations of convex polytopes
Jacob E. Goodman, Richard Pollack: Convexity theorems for generalized planar configurations
Bruce E. Peterson: Is there a Krasnoselskii theorem for finite starlike sets?
Philip E. Turner: Convex caustics for billiards in R^2 and R^3
Erwin Lutwak: On packing curves into circles
Robert E. Jamison-Waldner: A perspective on abstract convexity: classifying alignments by varieties
John R. Reay: Open problems around Radon's theorem
Gerard Sierksma: Generalizations of Helly's theorem; open problems
René Fourneau: Unimorphies of subsets of Hausdorff locally convex vector spaces
Jim Lawrence: Tiling R^d by translates of the orthants
Joseph Malkevitch: Eberhard's theorem for 4-valent convex 3-polytopes
Andrew Sobczyk: Graphical difference sets and projective planes
Hans Herda: Tiling the plane with incongruent regular polygons
Problems
Author index
Problem index
Subject index