A minimal prime model with an infinite set of indiscernibles

DOI10.1007/BF02762619zbMath0299.02062OpenAlexW1987131153MaRDI QIDQ1214923

Leo Marcus

Publication date: 1972

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02762619

Mathematics Subject Classification ID

Model theory (03C99) Other infinitary logic (03C75) Categoricity and completeness of theories (03C35) Other classical first-order model theory (03C68)

Related Items (15)

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ Infinitary stability theory ⋮ Simplicity and uncountable categoricity in excellent classes ⋮ A type-open minimal model ⋮ Categoricity and U-rank in excellent classes ⋮ Categoricity in \(\aleph_1\) of sentences in \(L_{\omega_1\omega}(Q)\) ⋮ Notes on Quasiminimality and Excellence ⋮ Indiscernible sequences in a model which fails to have the order property ⋮ An inelastic model with indiscernibles ⋮ Prime and atomic models ⋮ Categoricity over P for first order T or categoricity for \(\phi\) \(\in {\mathcal L}_{\omega_ 1\omega}\) can stop at \(\aleph_ k\) while holding for \(\aleph_ 0,\dots ,\aleph_{k-1}\) ⋮ Shelah's categoricity conjecture from a successor for tame abstract elementary classes ⋮ GALOIS-STABILITY FOR TAME ABSTRACT ELEMENTARY CLASSES ⋮ Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\) ⋮ A New Omitting Types Theorem

Cites Work

• Unnamed Item
• Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
• Minimal- und Primmodelle

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