Index
δ-net, 219
f-vector, 260
h-vector, 267
affine
hull, 42
hyperplane, 42
independence, 42
subspace, 42
algebra
of closed convex sets, 29
of compact convex sets, 29
of polyhedra, 39
of rational polyhedra, 337
Borsuk conjecture, 214
boundary, 47
chromatic number, 182
clique number, 182
closure, 111
codimension, 43
combination
affine, 42
conic, 65
convex, 2
condition
interior point, 170
Kuhn-Tucker, 170
Slater’s, 171
stability, 170
cone, 65
C+, 161
L+,
1
161
L+
∞,
161
V+, 161
R+,
d
160
S+, 160
base of, 66
dual, 162
homogeneous, 79
moment, 68, 151
of feasible directions, 100
of non-negative polynomials, 73, 151
of positive semidefinite Hermitian matri-
ces, 91
of positive semidefinite matrices, 79
of powers of linear forms, 151
polyhedral, 147
rational, 330
simple, 326
recession, 99
support, 341
unimodular, 353
conic hull, 65
contingency tables, 353
convex
body, 207, 210
symmetric about the origin, 207
combination, 5
hull, 2, 5
set, 2, 5
algebraically open, 45
convolution, 34
coset, 288
crosspolytope, 9
cube, 9
dilation, 6
dimension, 42, 49
direct product, 110
distance, 2
363
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