366 Index of continuous functions, 113, 133 of signed Borel measures, 133 projective, 86 quotient, 42 topological, 109 vector, 110 topological vector locally convex, 119 vector, 5 spherical angle, 149 exterior, 149 straight line, 42 sublattice, 288 index of, 288 tensor product, 219 Theorem Alaoglu’s, 116 Bipolar, 144, 159 Birkhoff-von Neumann, 4, 57 Blichfeldt’s, 293 Bohnenblust’s, 93 Brianchon-Gram, 344 Brickman’s, 4, 89 Brion’s, 346 Carath´ eodory’s, 10 colored, 11 dual, 137 Center Transversal, 24 Dines’, 84 Doignon’s, 318 Dvoretzky’s, 247 dual, 247 Eberhard’s, 266 Gauss-Lucas, 8 Ham Sandwich, 24 Helly’s, 18 colored, 21 fractional, 20 measure of the intersection, 20 hidden convexity, 84 Hilbert’s, 77 Howe’s, 318 Isolation, 45 Jung’s, 24 Kirchberger’s, 21 Krasnoselsky’s, 24 Krein-Milman, 121 for cones, 66 in Euclidean space, 52 Kronecker’s, 314 Lagrange’s, 299 Lyapunov’s, 130 M.B. Gromova’s, 63 Milman’s QS, 248 Minkowski’s Convex Body, 294 Minkowski’s Extremal Convex Body, 296 Minkowski’s Second, 296 Minkowski-Hlawka, 306 of Bakonyi and Johnson, 97 of Friedland and Loewy, 93 of Li and Tam, 85 of Pukhlikov, Khovanskii and Lawrence, 338 Piercing, 20 polarity is a valuation, 147 Polya’s, 16 Rado’s, 257 Radon’s, 17 Schur-Horn, 4 Straszewicz’, 50 Tikhonov’s, 110 Toeplitz-Hausdorff, 90 Tverberg’s, 18 Volume Ratio, 248 Weak Duality, 164 Weyl-Minkowski, 9, 55, 145 topology, 110 stronger, 110 weak∗, 115 weak, of the duality, 157 weaker, 110 transformation linear adjoint, 156 dual, 156 projective, 253 translation, 6, 111 tree, 63 triangulation, 332 valuation, 29 variance, 141 vector, 1, 5 vertex, 54, 252 volume, 2, 35 dual, 149, 207 intrinsic, 35, 36 volumetric barrier, 207 zonotope, 256, 292
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