A trichotomy of countable, stable, unsuperstable theories

Michael C. Laskowski; S. Shelah

doi:10.1090/S0002-9947-2010-05196-7

A trichotomy of countable, stable, unsuperstable theories

Michael C. Laskowski
, S. Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Every countable, strictly stable theory either has the Dimensional Order Property (DOP), is deep, or admits an 'abelian group witness to unsuperstability'. To obtain this and other results, we develop the notion of a 'regular ideal' of formulas and study types that are minimal with respect to such an ideal.

Original language	English
Pages (from-to)	1619-1629
Number of pages	11
Journal	Transactions of the American Mathematical Society
Volume	363
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9947-2010-05196-7
State	Published - Mar 2011

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A trichotomy of countable, stable, unsuperstable theories

Abstract

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