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Preprint Number 1945
1945. Karim Khanaki Glivenko-Cantelli classes and NIP formulas E-mail: Submission date: 19 March 2021 Abstract: We give some new equivalences of NIP for formulas and some new proofs of
known result using [T87] and [HOR91]. We emphasize that Keisler measures are
more complicated than types (even in NIP context), in an analytic sense.
Among other things, we show that, for a first order theory T and formula
φ(x,y), the following are equivalent:
(i) φ has NIP (for theory T). Mathematics Subject Classification: 03C45 Keywords and phrases: |

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