First-countability, \( \omega \)-Rudin spaces and well-filtered determined spaces
DOI10.1016/j.topol.2021.107775zbMath1475.54012OpenAlexW3184275030MaRDI QIDQ2049891
Xiaoyong Xi, Dongsheng Zhao, Chong Shen, Xiao-Quan Xu
Publication date: 27 August 2021
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2021.107775
sober spacesobrificationwell-filtered spacefirst-countability\( \omega \)-Rudin space\( \omega \)-well-filtered space\(\omega^*\)-\(d\)-spacecountably directed set
Hyperspaces in general topology (54B20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Fairly general properties of topological spaces (54D99) Ordered topological structures (06F30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasicontinuous domains and the Smyth powerdomain
- On topologies defined by irreducible sets
- D-completions and the \(d\)-topology
- Generalized continuous and hypercontinuous lattices
- \({\mathcal Z}\)-continuous posets and their topological manifestation
- Categories of locally hypercompact spaces and quasicontinuous posets
- Comparing Cartesian closed categories of (core) compactly generated spaces
- Well-filterifications of topological spaces
- First countability, \( \omega \)-well-filtered spaces and reflections
- On \(T_0\) spaces determined by well-filtered spaces
- On topological Rudin's lemma, well-filtered spaces and sober spaces
- On well-filtered reflections of \(T_0\) spaces
- A note on coherence of dcpos
- Well-filtered spaces and their dcpo models
- Continuous Lattices and Domains
- Non-Hausdorff Topology and Domain Theory
- A complete Heyting algebra whose Scott space is non-sober
- An upper power domain construction in terms of strongly compact sets
This page was built for publication: First-countability, \( \omega \)-Rudin spaces and well-filtered determined spaces
