## Proceedings ...: Convexity and applications; lectures by B. Grünbaum and V. KleeLincoln K. Durst Committee on the Undergraduate Program in Mathematics, Mathematical Association of America, 1967 - Geometry |

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### Contents

INTRODUCTION | 1 |

CONVEX SETS AND THE COMBINATORIAL | 43 |

Part I | 45 |

Copyright | |

14 other sections not shown

### Common terms and phrases

3-connected 3-realizable 3-valent affine combinations affine hull affinely independent algebra applications assume barycentric coordinates bound conjecture Caratheodory's theorem cl conv closed convex set closed halfspaces combinatorial type compact convex set concave function cone with apex contains conv(ext convex combination convex hull Convex Polytopes convex subset cyclic polytopes d-dimensional d-polytope defined Dehn-Sommerville equations denote determined dimension discussion disjoint equivalent Euler's formula example exists exposed points extreme points finite flat geometry course graph G Griinbaum Grunbaum halfspaces Helly's theorem hyperplane H i-face implies induction interior intersection interval graph k-face Klee lectures Lemma line-free linear basis mathematics matrix nodes non-empty Note number of facets number of vertices polyhedral set poonem possible proof properties prove Radon's theorem rational rel int Schlegel diagram sequence simplicial polytopes Steinitz's theorem supporting hyperplane topological transformation transportation polytope triangle triangular face undergraduate upper bound vector space vertex