Separating continuous domains from algebraic domains
Abstract We prove that every continuous domain that fails to be algebraic admits the unit interval as its Scott‐continuous retract; consequently, every countable continuous domain is algebraic and countable FS‐domains are RB‐domains.
Authors
- Xiaodong Jia (ORCID: https://orcid.org/0000-0001-9310-6143)
- Wei Luan (ORCID: https://orcid.org/0000-0002-4522-2980)
- Qingguo Li (ORCID: https://orcid.org/0000-0002-4314-7489)
Institutions
- Hunan University (CN)
- Hunan Normal University (CN)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-11-04
- DOI
- https://doi.org/10.1112/blms.70227
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China