Index (𝜆,𝜅)-model, 205 (𝜆,𝑛)-completeness, 159 (𝜆,𝑛)-existence, 160 (𝜆,𝑛)-system, 151 (𝜆,𝑛)-uniqueness, 166 (𝜇,𝛿)-chain, 76 (𝜇,𝛿)-limit, 76 2-transitive, 51 𝐴 TV 𝐵, 144, 151 𝐴𝑠,𝐵𝑠, 151 𝐷(𝛼,𝜒,𝜃), 219 𝐸𝐶(𝑇,𝐴𝑡𝑜𝑚𝑖𝑐)-class, 53 𝐸𝐶(𝑇, Γ)-class, 35 𝐸𝑀(𝐼, Φ), 50 𝐻(𝜅), 33 𝐻1, 33 𝐻2, 10 5 𝐼(𝑲,𝜆), 32 𝐿𝜔1,𝜔, 5 𝐿𝜔1,𝜔-type, 9 𝐿𝜔 1 ,𝜔 (𝑄), 5, 39 𝐿𝜔1,𝜔(𝑄) as AEC?, 39, 55 𝑃-system, 151 𝑃𝐶, 34 𝑃𝐶(𝑇, Γ) class, 34 𝑃𝐶Γ class, 49 𝑃𝐶 𝛿 class over 𝐿𝜔 1 ,𝜔 , 34 𝑃𝐶𝛿-classes, 34, 109 𝑆∗(𝐴), 138 𝑆𝑎𝑡(𝐴), 138 𝑇 (𝜓), 55 ℋ(𝜃), 110 Φ 𝜆 , 217 Φ𝜒,𝜆, 219 Θ𝜒,𝜆, 219 isomorphic, 5 autM(𝕄), 94 cf, 6 𝜒-order property, 116 𝜂(𝜅), 33 𝕊(𝑀), 69 ˆ 𝜆+ , 218 ˆ, 19 ˆ 𝜆+ , 127 𝜅-amalgamation base, 122 𝜅 𝑲 , 32 𝜆-stable, 140 ≤∗, 55 ≤∗∗, 55 𝜇-dap, 79, 80 𝜇-splits, 91 otp, 73 𝜎-universal over, 76 𝜎-universal over ... in, 73 ∼𝐴𝑇 , 68 Unif(𝜆,𝜒,𝜃,𝜅), 222 𝑘-transitive, 51 𝑝(𝑁), 100 𝐴′ ≈𝐵 𝐴, 146 *-excellent, 179 𝜅(𝑲,𝜇), 113 initial segment, 129 extendible structure, 211 filtration, 29 partial 𝐴-monomorphism, 8 partial monomorphism, 8 strong embedding, 28 A3.3, 31, 60, 102 abstract elementary class, 26 accessible category, 37 admits 𝜆-saturated unions, 100 AEC, finite character, 184 almost quasiminimal excellent, 15 amalgamation base, 123, 168 amalgamation over pairs, 173 amalgamation property, 29, 64 amalgamation, failure of, 127 amalgamation, set, 35 analytic Zariski structures, 29 atomic AEC, 137 atomic over, 141 atomic set, 137 back and forth, 5 Banach Spaces, 35 233
Previous Page Next Page