INDEX 235
pseudoelementary, 34
quasiminimal, 97
quasiminimal class, 8
quasiminimal class, abstract, 7
quasiminimal type, 186
rank in atomic classes, 143
restriction, Galois type, 69
Scott sentence, uncountable model, 47
Shelah’s Categoricity Conjecture, 99
Silver example, 34
simple AEC, 184
small, 46
solution, 197
special , 75
special set, 10
spectrum, 32
splits, 144
splitting of Galois-types, 91
stable model, 71
standard model, 196
stationary, 147
Stone space, 137
strongly 𝜔-homogenous, 138
strongly minimal, 4
strongly model homogeneous, 67
strongly realized, 120
superstable, 113
symmetry property, 148
system, 151
tame, 14, 85, 183
Tarski-Vaught, 144
Tarski-Vaught sequences, 151
template, 50
Thumbtack Lemma, 20
transitive linear order, 51, 87
true Vaughtian pair, 100
two cardinal theorem, 188, 205
type, 𝐿𝜔1,𝜔, 9
type, algebraic, 94
type, first order, 33
type, Galois, 68
type, syntactic, 33
universal over, 76
universal over ... in, 73
Vaught’s conjecture, 53
Vaughtian pair, 100
Vaughtian triple, 187
very few, 165
very weak GCH, ix
vocabulary, 27
VWGCH, ix
weak AEC, 122
weak diamond, 217
weak GCH, ix
weakly tame, 85
WGCH, ix
Zilber example: covers, 17
Zilber example: pseudoexponentiation, 23
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