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Some Themes Around First Order Theories Without the Independence Property

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Model Theory in Algebra, Analysis and Arithmetic

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2111))

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Abstract

The aim of these notes (as well as the course of lectures they are based on) is to describe some current work around theories with NIP (not the independence property). This is a broad class of first order theories, including natural examples such as algebraically closed fields, differentially closed fields (both of which are stable) as well as real closed fields, p-adically closed fields and algebraically closed valued fields (which are unstable).This is really a paper on “pure” model theory, but I will comment here and there on applications and connections.

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Acknowledgements

Supported by EPSRC grant EP/I002294/1.

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Authors and Affiliations

  1. University of Leeds, Leeds, UK

    Anand Pillay

  2. University of Notre Dame, Notre Dame, IN, USA

    Anand Pillay

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  1. Anand Pillay
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Correspondence to Anand Pillay .

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Pillay, A. (2014). Some Themes Around First Order Theories Without the Independence Property. In: Model Theory in Algebra, Analysis and Arithmetic. Lecture Notes in Mathematics(), vol 2111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54936-6_2

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