Exposé Bourbaki 1114 : Propriété de non-indépendance (NIP), mesures de Keisler et combinatoire
Exposé Bourbaki 1114 : NIP, Keisler measures and combinatorics
Astérisque | Exposés Bourbaki | 2017
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- Année : 2017
- Tome : 390
- Format : Électronique
- Langue de l'ouvrage :
Anglais - Class. Math. : 03C68, 03C45, 03C98, 05C69, 05D10, 28E05.
- Pages : 303-334
- DOI : 10.24033/ast.1028
Keisler measures were introduced by H.J. Keisler in 1987 as finitely additive probability measures on Boolean algebras of definable sets. Almost 20 years later Keisler's work was revisited, significantly improved and deepened in a series of papers by E. Hrushovski, A. Pillay, Y. Peterzil, P. Simon. In this talk I will survey Keisler measures and try to demonstrate that Keisler's measures on so-called distal structures provide a very natural framework for various combinatorial problems.
NIP, Keisler measures, distal theories, Erdős-Hajnal Conjecture, Regularity lemma, VC-dimension.
Électronique
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10.00 €
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7.00 €
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