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A Sauer–Shelah–Perles Lemma for Lattices

Author(s): Cambie, Stijn; Chornomaz, Bogdan; Dvir, Zeev; Filmus, Yuval; Moran, Shay

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dc.contributor.authorCambie, Stijn-
dc.contributor.authorChornomaz, Bogdan-
dc.contributor.authorDvir, Zeev-
dc.contributor.authorFilmus, Yuval-
dc.contributor.authorMoran, Shay-
dc.date.accessioned2021-10-08T19:46:06Z-
dc.date.available2021-10-08T19:46:06Z-
dc.date.issued2020en_US
dc.identifier.citationCambie, Stijn, Bogdan Chornomaz, Zeev Dvir, Yuval Filmus, and Shay Moran. "A Sauer–Shelah–Perles Lemma for Lattices." The Electronic Journal of Combinatorics 27, no. 4 (2020): pp. P4.19:1-P4.19:21. doi:10.37236/9273en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1xc06-
dc.description.abstractWe 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.en_US
dc.format.extentP4.19:1 - P4.19:21en_US
dc.language.isoen_USen_US
dc.relation.ispartofThe Electronic Journal of Combinatoricsen_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titleA Sauer–Shelah–Perles Lemma for Latticesen_US
dc.typeJournal Articleen_US
dc.identifier.doi10.37236/9273-
dc.identifier.eissn1077-8926-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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