A Sauer-Shelah-Perles lemma for lattices (Q2209889)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Sauer-Shelah-Perles lemma for lattices |
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A Sauer-Shelah-Perles lemma for lattices (English)
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5 November 2020
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Summary: We study lattice-theoretical extensions of the celebrated Sauer-Shelah-Perles Lemma. We conjecture that a general Sauer-Shelah-Perles Lemma holds for a lattice if and only if the lattice is relatively complemented, and prove partial results towards this conjecture.
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