The authors define extra slow Tamari lattices on faithfully balanced tableaux, prove they are lattices that are semidistributive, trim, polygonal and congruence uniform, describe their join-irreducibles via three-color roots, and obtain enumerative results.
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All model structures on the lattice N5 are classified and related via Bousfield localizations using transfer systems.
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The extra slow Tamari lattice
The authors define extra slow Tamari lattices on faithfully balanced tableaux, prove they are lattices that are semidistributive, trim, polygonal and congruence uniform, describe their join-irreducibles via three-color roots, and obtain enumerative results.
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Bousfield Localizations on the Nonmodular Lattice $N_5$
All model structures on the lattice N5 are classified and related via Bousfield localizations using transfer systems.