Meet-distributive lattices have the intersection property

DOI10.21136/MB.2022.0072-21MaRDI QIDQ5878483

Henri Mühle

Publication date: 21 February 2023

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01528

zbMATH Keywords

intersection propertymeet-distributive latticecore label ordercanonical join complexcongruence-uniform lattice

Mathematics Subject Classification ID

Other generalizations of distributive lattices (06D75)

Related Items (1)

Bubble lattices. I: Structure

Cites Work

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• Noncrossing partitions and the shard intersection order
• The canonical join complex
• Oriented flip graphs of polygonal subdivisions and noncrossing tree partitions
• The sorting order on a Coxeter group.
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• The core label order of a congruence-uniform lattice
• Join-semidistributive lattices and convex geometries.
• Noncrossing arc diagrams, Tamari lattices, and parabolic quotients of the symmetric group
• Chapoton triangles for nonkissing complexes
• Lattice Theory of the Poset of Regions
• Noncrossing Arc Diagrams and Canonical Join Representations
• On the Shard Intersection Order of a Coxeter Group
• Distributive lattices have the intersection property
• The canonical join complex for biclosed sets

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