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2012.3: O-minimal structures

2012.3: A J Wilkie (2009) O-minimal structures. In: Seminaire Bourbaki No 985, 14 Nov 2007, Paris, France.

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Abstract

The notion of an o-minimal expansion of the ordered field of real numbers was invented by L van den Dries [vdD1] as a framework for investigating the model theory of the real exponential function exp : R -> R : x -> exp(x), and thereby settle an old problem of Tarski. More on this later, but for the moment it is best motivated as being a candidate for Grothendieck’s idea of “tame topology” as expounded in his Esquisse d’un Programme [Gr]. In this lecture I shall explain these remarks.

Item Type:Conference or Workshop Item (Lecture)
Uncontrolled Keywords:O-minimality
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 26 Real functions
MIMS number:2012.3
Deposited By:Prof Alex J Wilkie
Deposited On:05 January 2012

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