Ordre et stabilité dans les théories NIP

Abstract : This thesis deals with model theory, a branch of mathematical logic.We study a particular class of theories called "NIP theories", which includes in particular some ordered fields and valued fields. We are interested in various aspects of those structures. First, we study a specific class of measures, which we call "generically stable measures". We show that they have properties analogous to those of types in a stable theory and we give some constructions to produce them. We also study a weak form of definability of types. Finally, we define a notion of a "purely unstable" NIP theory and show how, in general, we can detect the stable parts of types.
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Mathematics [math]. Université Paris Sud - Paris XI, 2011. French. <NNT : 2011PA112221>


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Pierre Simon. Ordre et stabilité dans les théories NIP. Mathematics [math]. Université Paris Sud - Paris XI, 2011. French. <NNT : 2011PA112221>. <tel-00635463>

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