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Bourgin R.D. — Geometric Aspects of Convex Sets with the Radon-Nikodym Property |
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Souslin space 301
Space see "Asplund" "Dual" "Dualoid" "GSG" "Hilbert" "Injective" "James" "Lattice" "Locally" "Lusin" "Measurable" "Norming" "Perfect" "Probability" "Quasicomplete" "Radon" "Reflexive" "Souslin" "Strong "Uniformly" "Very "Weakly
Square variation norm 347
Stage see "Bush"
Stegall Property (SP) 120 121 122 124 126 143 144 148
Stegall's construction 77 79 81 84
Stone Representation Theorem 434
Stopping time 25 320
Strong differentiability space 116
Subdifferential (of f) 116 118
Successor 403
Successor, immediate successor 227 403
Support (of a function) 150 see
Support functional 41 45 57 53 70
Support point 40 41
Talagrand's Theorem 7.13.2 423 441 443
Three Convex Set Theorem 3.4.1 51 54 55 57 59 60 62 93
Tight, set of measures 185 see
Transfinite see "Series"
Tree, -Rademacher tree 307
| Tree, -tree 34 88 91 111 131 243 245 247 243 265 266 307 313 343
Tree, approximate tree 37
Tree, finite (k,) tree 243
Tree, weighted tree 37 335
Uniformly convex 13 14 34 35
Uniformly integrable 302 306 307
Uniformly, locally uniformly convex norm 114 see
Uniformly, weakly locally uniformly convex norm 347
Upper semicontinuous (set valued map) 124
Very smooth 157
Weak Radon — Nikodym Property see "Radon — Nikodym Property"
Weak unit 426
Weak* -sequentially dense 308
Weak* version (of Definitions, Theorems, etc. in Ch. 3) 41 45 52 54 56
Weakly Compactly Generated (WCG) 76 97 304 347 362 372 401
Weakly first countable 138
Weakly metrizable 138
Weakly precompact 309
wedge 415
Wedge intersection 415 418
Zermelo — Fraenkel axioms 101 114
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