Multi-cardinal phenomena in stable theories


Authors
Timothy Bays
University of Notre Dame
Abstract
In this dissertation we study two-cardinal phenomena—both of the admitting cardinals variety and of the Chang’s Conjecture variety—under the assumption that all our models have stable theories. All our results involve two, relatively widely accepted generalizations of the traditional definitions in this area. First, we allow the relevant subsets of our models to be picked out by (perhaps infinitary) partial types; second we consider δ-cardinal problems as well as two-cardinal problems.
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Some Two-Cardinal Results for o-Minimal Theories.Timothy Bays - 1998 - Journal of Symbolic Logic 63 (2):543-548.
Partitioning Subsets of Stable Models.Timothy Bays - 2001 - Journal of Symbolic Logic 66 (4):1899-1908.

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