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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