The stone representations for generalized continuous posets

DOI10.1007/s10485-023-09761-wOpenAlexW4390915793WikidataQ129864762 ScholiaQ129864762MaRDI QIDQ6181356

Ao Shen, Qing-Guo Li

Publication date: 22 January 2024

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-023-09761-w

zbMATH Keywords

irreducible elementscontinuous latticesstone dualitygeneralized continuous posetsround frink ideals

Mathematics Subject Classification ID

Stone spaces (Boolean spaces) and related structures (06E15) Continuous lattices and posets, applications (06B35) Semilattices (06A12)

Cites Work

• Grätzer-Hofmann-Lawson-Jung-Sünderhauf duality
• Ideal completion and Stone representation of ideal-distributive ordered sets
• A categorical duality for semilattices and lattices
• The Spectral Theory of Distributive Continuous Lattices
• Continuous Lattices and Domains
• Atomless Parts of Spaces.
• The Theory of Representation for Boolean Algebras
• Topological representations of distributive lattices and Brouwerian logics
• Ideals in Partially Ordered Sets
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