On uniform definability of types over finite sets

Vincent Guingona

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arXiv · 1005.4924

On uniform definability of types over finite sets

Vincent Guingona

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Abstract

In this paper, using definability of types over indiscernible sequences as a template, we study a property of formulas and theories called "uniform definability of types over finite sets" (UDTFS). We explore UDTFS and show how it relates to well-known properties in model theory. We recall that stable theories and weakly o-minimal theories have UDTFS and UDTFS implies dependence. We then show that all dp-minimal theories have UDTFS.

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BibTeX RIS

Vincent Guingona. 2010-05-26. On uniform definability of types over finite sets. https://arxiv.org/abs/1005.4924

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