Results 1 
5 of
5
Comparing Axiomatizations of Free Pseudospaces
"... Independently and pursuing different aims, Hrushovski and Srour [HS89] and Baudisch and Pillay [BP00] have introduced two free pseudospaces that generalize the well know concept of Lachlan’s free pseudoplane. In this paper we investigate the relationship between these free pseudospaces, proving in p ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Independently and pursuing different aims, Hrushovski and Srour [HS89] and Baudisch and Pillay [BP00] have introduced two free pseudospaces that generalize the well know concept of Lachlan’s free pseudoplane. In this paper we investigate the relationship between these free pseudospaces, proving in particular, that the pseudospace of Baudisch and Pillay is a reduct of the pseudospace of Hrushovski and Srour.
PARTIAL STABILITY IN SIMPLE THEORIES
"... This article is concerned with generalizing some stability theoretic results to the broader context of simple theories. For instance, we prove a finite equivalence relation theorem for simple theories and, under the condition that T is simple with stable forking, we characterize supersimplicity of T ..."
Abstract
 Add to MetaCart
(Show Context)
This article is concerned with generalizing some stability theoretic results to the broader context of simple theories. For instance, we prove a finite equivalence relation theorem for simple theories and, under the condition that T is simple with stable forking, we characterize supersimplicity of T in terms of stability in (λ,Σ) (as defined by Shelah
Reducts and Expansions of Stable and Simple Theories
, 2004
"... In this thesis we will study certain properties like simplicity, categoricity or CMtriviality of reducts and Skolem expansions of simple and stable theories. The first part is about Skolem expansions of simple theories. We will show that if we add the Skolem function for an algebraic formula to an ..."
Abstract
 Add to MetaCart
(Show Context)
In this thesis we will study certain properties like simplicity, categoricity or CMtriviality of reducts and Skolem expansions of simple and stable theories. The first part is about Skolem expansions of simple theories. We will show that if we add the Skolem function for an algebraic formula to an algebraically bounded, modelcomplete, simple theory T, then its modelcompletion T ∗, which we know exists from Winkler’s Theorem, is again simple. If T is ωcategorical then so is T ∗. This will give us a method to turn algebraic closure into definable closure without losing simplicity or ωcategoricity. We illustrate with an example that if T is uncountably categorical then T ∗ need not to be. After that we examine the case of adding the Skolem function for a non algebraic