A completion-invariant extension of the concept of quasi C-continuous lattices

DOI10.2298/FIL1708345RzbMath1488.06013OpenAlexW2571252115MaRDI QIDQ5156294

Xiao-jun Ruan, Xiao-Quan Xu

Publication date: 15 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1708345r

zbMATH Keywords

way belownormal completion\(C\)-precontinuous posetmeet \(C\)-precontinuous posetquasi \(C\)-precontinuous poset

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Continuous lattices and posets, applications (06B35)

Related Items (2)

On \(\mathrm{SI}_2\)-continuous spaces ⋮ \( \mathcal{Z} \)-quasidistributive and \(\mathcal{Z} \)-meet-distributive posets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completely precontinuous posets.
• Meet precontinuous posets.
• The dual of a generalized completely distributive lattice is a hypercontinuous lattice
• Generalized continuous posets and a new Cartesian closed category
• Quasicontinuity of posets via Scott topology and sobrification
• The category of Z-continuous posets
• Generalized continuous and hypercontinuous lattices
• The Dedekind-MacNeille completion as a reflector
• Boolean and distributive ordered sets: Characterization and representation by sets
• Hypercontinuous posets.
• Infinite distributive laws versus local connectedness and compactness properties
• Continuous Lattices and Domains
• Ideals in Partially Ordered Sets

This page was built for publication: A completion-invariant extension of the concept of quasi C-continuous lattices