Convexity and related combinatorial geometry : proceedings of the second University of Oklahoma conference, Norman, Okla., (March 13-15, 1980)

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