Geodesic
Rosenthal compacta and NIP formulas
Pierre Simon1
1 CNRS, Université Lyon 1 Institut Camille Jordan 43 boulevard du 11 novembre 1918 69622 Villeurbanne, France
Fundamenta Mathematicae, Tome 231 (2015) no. 1, pp. 81-92.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We apply the work of Bourgain, Fremlin and Talagrand on compact subsets of the first Baire class to show new results about $\phi $-types for $\phi $ NIP. In particular, we show that if $M$ is a countable model, then an $M$-invariant $\phi $-type is Borel-definable. Also, the space of $M$-invariant $\phi $-types is a Rosenthal compactum, which implies a number of topological tameness properties.
DOI : 10.4064/fm231-1-5
Mots-clés : apply work bourgain fremlin talagrand compact subsets first baire class results about phi types phi nip particular countable model m invariant phi type borel definable space m invariant phi types rosenthal compactum which implies number topological tameness properties

Pierre Simon 1

1 CNRS, Université Lyon 1 Institut Camille Jordan 43 boulevard du 11 novembre 1918 69622 Villeurbanne, France 
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Pierre Simon. Rosenthal compacta and NIP formulas. Fundamenta Mathematicae, Tome 231 (2015) no. 1, pp. 81-92. doi : 10.4064/fm231-1-5. http://geodesic.mathdoc.fr/articles/10.4064/fm231-1-5/

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