\(s_{Z}\)-quasicontinuous posets and meet \(s_{Z}\)-continuous posets

DOI10.1016/J.TOPOL.2017.08.045zbMath1475.06002OpenAlexW2748250435MaRDI QIDQ2405082

Xiao-jun Ruan, Xiao-Quan Xu

Publication date: 21 September 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2017.08.045

zbMATH Keywords

subset system\(s_Z\)-quasicontinuous posets\(Z\)-way below relationmeet \(s_Z\)-continuous posets

Mathematics Subject Classification ID

Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Continuous lattices and posets, applications (06B35)

Related Items (2)

The duality theory of general \(\mathcal{Z}\)-continuous posets ⋮ \( \mathcal{Z} \)-quasidistributive and \(\mathcal{Z} \)-meet-distributive posets

Cites Work

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• Generalized continuous posets and a new Cartesian closed category
• Quasicontinuity of posets via Scott topology and sobrification
• Quasicontinuous posets
• The category of Z-continuous posets
• Generalized continuous and hypercontinuous lattices
• Posets having continuous intervals
• \({\mathbf Z}\)-continuous posets
• \(s_2\)-quasicontinuous posets.
• Hypercontinuous posets.
• Continuity of posets via Scott topology and sobrification
• Continuous Lattices and Domains
• An upper power domain construction in terms of strongly compact sets

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