Flat Morley sequences

Journal of Symbolic Logic 64 (3):1261-1279 (1999)
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Abstract

AssumeTis a small superstable theory. We introduce the notion of a flat Morley sequence, which is a counterpart of the notion of an infinite Morley sequence in a typep, in case whenpis a complete type over a finite set of parameters. We show that for any flat Morley sequenceQthere is a modelMofTwhich isτ-atomic over {Q}. When additionallyThas few countable models and is 1-based, we prove that withinMthere is an infinite Morley sequenceI, withI⊂ dcl(Q), such thatMis prime overI.

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10.2307/2586628

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Citations of this work

Relative Vaught's Conjecture for Some Meager Groups.Ludomir Newelski - 2007 - Notre Dame Journal of Formal Logic 48 (1):115-132.

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References found in this work

Vaught’s conjecture for superstable theories of finite rank.Steven Buechler - 2008 - Annals of Pure and Applied Logic 155 (3):135-172.
Meager forking.Ludomir Newelski - 1994 - Annals of Pure and Applied Logic 70 (2):141-175.

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