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Characterizing rosy theories

Published online by Cambridge University Press:  12 March 2014

Clifton Ealy  and
Alf Onshuus
Clifton Ealy
Affiliation:
University of Illinois at Urbana-Champaign, Department of Mathematics, 1409 West Green Street, Urbana, Illinois 61801, USA, E-mail: clif@math.uiuc.edu
Alf Onshuus
Affiliation:
Universidad de Los Andes, Departemento de Matemáticas CRA. 1 NO 18A-10 Bogotá, Colombia, E-mail: onshuus@gmail.com
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Abstract

We examine several conditions, either the existence of a rank or a particular property of þ-forking that suggest the existence of a well-behaved independence relation, and determine the consequences of each of these conditions towards the rosiness of the theory. In particular we show that the existence of an ordinal valued equivalence relation rank is a (necessary and) sufficient condition for rosiness.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 3 , September 2007 , pp. 919 - 940
Copyright
Copyright © Association for Symbolic Logic 2007

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