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
Previous Page Next Page