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    Onshuus, Alf and Usvyatsov, Alexander 2011. Stable domination and weight. Annals of Pure and Applied Logic, Vol. 162, Issue. 7, p. 544.


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Stable types in rosy theories

  • Assaf Hasson (a1) and Alf Onshuus (a2)
  • DOI: http://dx.doi.org/10.2178/jsl/1286198144
  • Published online: 01 March 2014
Abstract
Abstract

We study the behaviour of stable types in rosy theories. The main technical result is that a non-þ-forking extension of an unstable type is unstable. We apply this to show that a rosy group with a þ-generic stable type is stable. In the context of super-rosy theories of finite rank we conclude that non-trivial stable types of Uþ-rank 1 must arise from definable stable sets.

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Department of Mathematics, Ben Gurion University of the Negev, Be'er Sheva, Israel. E-mail: hassonas@.math.bgu.ac.il
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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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