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| Winkler G. — Choquet Order and Simplices |
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| Предметный указатель |
 -isomorphic 96
-isomorphism 96
 -smooth 9
(Universally measurable) 24
Absolutely continuous 123
Affine function 10
Analytic space 8
Average range 124
B-space 8 119
Baire -algebra 8
Balayage order 31
Barycenter 13
Barycenter map 14
Barycentrical formula 14
Barycentrically closed 21
Base 52
Belong to (a vertex) 89
Borel -algebra 9
Borel -algebra, strong 62
Borel -algebra, weak 62
Borel isomorphic 8
Boundary measure 39
Canonical statistical field 118
CAP 45 100
Chapman — Kolmogorov equation 108
Choguet simplex 47
Choquet order 30
Closed convex hull 10
Completion 7
Conditional expectation 31 128
Conditionally measure, convex 28
Cone 10
Conical measure 45
Convex regular 61
Convex tight 57
Convex, combination 10
Convex, cone 10
Convex, function 1 0
Convex, hull 10
Convex, set 10
Countably generated (net) 76
D-dimensional simplex 88
D-simplex 88
de Finetti’s theorem 119
Dilation 31
Dilation order 33
DLR-equations 111 112
Entrance boundary 109
Entrance law 109
Error in continuity 106
Evaluation -algebra 44 89
Exit boundary 109
Extremal 10
Extremal family 118
Extreme boundary 10
Extreme point 10
Extreme ray 101
Finite dimensional simplex 88
Generalized moment set 25
Generate (a net) 76
Gibbs state 111 112
Homothet 52
Initial distribution 109
Inner measure 6
Inverse system of convex sets 80
Inverse system of spaces of measures 95
Inverse system, convex sets 79
Inverse system, spaces of measures 95
| Ising model 111
Kernel 7
Krein set 28
Large deviations 61
Lattice cone 44
Linearly compact 53
Lusin space 8
Markov process 108
Martingale 51
Measure 6
Measure convex 21
Minimal affine extension 52
Minimal type (1.c. space) 66
Moment set 25
Norm determining 106
Order 30
Outer measure 6
Own order 44
p-completion 7
p-dilation 31
Pettis integral 14
Point measure 7
Pointed convex cone 43
Polish space 8
Probability measure 6
Projective statistical field 117
Radon space 24
Radon — Nikodym property 124
Radons 28
Ray 101
Reduced inverse limit (of a l.c. space) 17
Repetitive structure 118
Represent 14
Semi Radonian 24
Signed measure 6
simplex 46
Simplex, Choquet 47
Simplex, d-dimensional 88
Simplex, finite dimensional 88
Specification 111 112
Standard Borel space 8
Standard space 8
State 111
Stochastic kernel 7
Strictly convex (function) 10
Strong Borel -algebra 62
Strong measure 62
Strongly countably additive 123
Substochastic kernel 7
Sufficient -algebra 121
Sufficient statistic 118
Support 9
Support system 119
Suslin space 8
t-convex 28
Tail field 121
Thermodynamic limit 114
Tight 9
Topological space 8
Transition probability 108
Uniformly convex tight 58
Universally measurable 10
Vector measure 123
Vector space 10
Vertex 88
Weak Borel -algebra 62
Weak measure 62
Weak topology on measures 12
Well-capped 100
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