Rosenthal compacta and NIP formulas

• Autorzy: Pierre Simon
• Języki publikacji: EN

Abstrakty

EN

We apply the work of Bourgain, Fremlin and Talagrand on compact subsets of the first Baire class to show new results about ϕ-types for ϕ NIP. In particular, we show that if M is a countable model, then an M-invariant ϕ-type is Borel-definable. Also, the space of M-invariant ϕ-types is a Rosenthal compactum, which implies a number of topological tameness properties.

Kategorie tematyczne

• 54E52: Baire category, Baire spaces
• 03C45: Classification theory, stability and related concepts

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 231
• Numer: 1
• Strony: 81-92

Daty

wydano

2015

Twórcy

autor

Pierre Simon

• CNRS, Université Lyon 1, Institut Camille Jordan, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne, France

Identyfikatory

DOI

10.4064/fm231-1-5