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MODEL THEORY AND COMBINATORICS OF BANNED SEQUENCES
- Part of
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- Journal:
- The Journal of Symbolic Logic / Volume 87 / Issue 1 / March 2022
- Published online by Cambridge University Press:
- 05 October 2020, pp. 1-20
- Print publication:
- March 2022
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- Article
- Export citation
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We set up a general context in which one can prove Sauer–Shelah type lemmas. We apply our general results to answer a question of Bhaskar [1] and give a slight improvement to a result of Malliaris and Terry [7]. We also prove a new Sauer–Shelah type lemma in the context of
$ \operatorname {\textrm{op}}$
-rank, a notion of Guingona and Hill [4].
