Remarks on the NIP in a model

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Mathematical Logic Quarterly 64 (6):429-434 (2018)
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Abstract

We define the notion has the NIP (not the independence property) in A, where A is a subset of a model, and give some equivalences by translating results from function theory. We also discuss the number of coheirs when A is not necessarily countable, and revisit the notion “ has the NOP (not the order property) in a model M”.

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10.1002/malq.201700070

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Citations of this work

ℵ 0 ‐categorical Banach spaces contain ℓp or c 0.Karim Khanaki - 2021 - Mathematical Logic Quarterly 67 (4):469-488.
Remarks on Convergence of Morley Sequences.Karim Khanaki - 2024 - Journal of Symbolic Logic 89 (3):1339-1357.
Glivenko–Cantelli classes and NIP formulas.Karim Khanaki - 2024 - Archive for Mathematical Logic 63 (7):1005-1031.
Galois groups as quotients of Polish groups.Krzysztof Krupiński & Tomasz Rzepecki - 2020 - Journal of Mathematical Logic 20 (3):2050018.

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References found in this work

Classification Theory and the Number of Nonisomorphic Models.S. Shelah - 1982 - Journal of Symbolic Logic 47 (3):694-696.
An Introduction to Stability Theory.Anand Pillay - 1986 - Journal of Symbolic Logic 51 (2):465-467.

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