A poset with spectral Scott topology is a quasialgebraic domain

DOI10.1007/s11083-009-9129-5zbMath1191.06005OpenAlexW2036699391MaRDI QIDQ1047185

Tomoo Yokoyama

Publication date: 4 January 2010

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-009-9129-5

zbMATH Keywords

Scott topologyspectral topologyquasialgebraic domain

Mathematics Subject Classification ID

Continuous lattices and posets, applications (06B35)

Related Items

\(s_2\)-quasialgebraic posets, Categories of locally hypercompact spaces and quasicontinuous posets, Two topologies on the lattice of Scott closed subsets

Cites Work

• Quasicontinuity of posets via Scott topology and sobrification
• Infinite distributive laws versus local connectedness and compactness properties
• Function spaces and adjoints.
• Continuous Lattices and Domains
• Prime Ideal Structure in Commutative Rings
• Representation of Distributive Lattices by means of ordered Stone Spaces
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