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Preprint Number 1370

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1370. Hunter Chase and James Freitag
Model theory and combinatorics of banned sequences

Submission date: 23 January 2018


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 and give a slight improvement to a result of Malliaris and Terry. We also prove a new Sauer-Shelah type lemma in the context of op-rank, a notion of Guingona and Hill.

Mathematics Subject Classification: 03C45, 05A05, 05C69

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Full text arXiv 1801.07640: pdf, ps.

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