Dependent \(T\) and existence of limit models

DOI10.2478/tmj-2014-0010zbMath1335.03033arXivmath/0609636OpenAlexW1635850309MaRDI QIDQ482659

Saharon Shelah

Publication date: 6 January 2015

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609636

zbMATH Keywords

dependencestrong dependencelimit modeldense linear order

Mathematics Subject Classification ID

Total orders (06A05) Classification theory, stability, and related concepts in model theory (03C45) Set-theoretic model theory (03C55)

Related Items

Dependent first order theories, continued ⋮ Strongly dependent theories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Club guessing and the universal models
• Classification theory and the number of non-isomorphic models.
• The generic pair conjecture for dependent finite diagrams
• Dependent first order theories, continued
• When a first order T has limit models
• No limit model in inaccessible
• Universal relational systems
• Homogeneous Universal Models.
• Independence results
• Nonexistence of universal orders in many cardinals
• Logical dreams
• Dependent theories and the generic pair conjecture
• Some theorems of set theory and their topological consequences
• Homogeneous Universal Relational Systems.