Trivial pursuit: remarks on the main gap

DOI10.1016/0168-0072(87)90001-7zbMath0633.03023OpenAlexW2064405435MaRDI QIDQ1095890

John T. Baldwin

Publication date: 1987

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(87)90001-7

zbMATH Keywords

spectrumforkingmain gapdependence relationisomorphism types of infinite modelstrees of submodelstrivial types

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45)

Related Items (3)

Some trivial considerations ⋮ Countable models of 1-based theories ⋮ Triviality, NDOP and stable varieties

Cites Work

• Unnamed Item
• Classification theory. Proceedings of the U.S.-Israel Workshop on Model Theory in Mathematical Logic held in Chicago (Illinois), December 15-19, 1985
• The spectrum problem. I: \(\aleph_{\epsilon}\)-saturated models, the main gap
• The spectrum problem. II: Totally transcendental and infinite depth
• The number of uncountable models of \(\omega\)-stable theories
• \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
• A survey of basic stability theory, with particular emphasis on orthogonality and regular types
• A proof of Vaught's conjecture for \(\omega\)-stable theories
• An exposition of Shelah's 'main gap': counting uncountable models of \(\omega\)-stable and superstable theories
• Martin's conjecture for \(\omega\)-stable theories
• Second-order quantifiers and the complexity of theories
• Classification theory and the number of non-isomorphic models
• Quelques précisions sur la D.O.P. et la profondeur d'une théorie
• The geometry of weakly minimal types

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