Geodesic
Rosenthal compacta and NIP formulas
Pierre Simon1
1CNRS, 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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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

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