The Smythe-completion of a quasi-uniform space
Semantics of programming languages and model theory
A faithful computational model of the real numbers
Selected papers of the workshop on Topology and completion in semantics
Elements of generalized ultrametric domain theory
Theoretical Computer Science
Quasi Uniformities: Reconciling Domains with Metric Spaces
Proceedings of the 3rd Workshop on Mathematical Foundations of Programming Language Semantics
Generalized ultrametric spaces: completion, topology, and powerdomains via the Yoneda embedding
Generalized ultrametric spaces: completion, topology, and powerdomains via the Yoneda embedding
A characterization of partial metrizability: domains are quantifiable
Theoretical Computer Science - Topology in computer science
Partial metrisability of continuous posets
Mathematical Structures in Computer Science
Section-retraction-pairs between fuzzy domains
Fuzzy Sets and Systems
An enriched category approach to many valued topology
Fuzzy Sets and Systems
Fundamental study: Complete and directed complete Ω-categories
Theoretical Computer Science
On Domain Theory over Girard Quantales
Fundamenta Informaticae
Fundamental study: Dcpo-completion of posets
Theoretical Computer Science
The limit–colimit coincidence theorem for -categories
Mathematical Structures in Computer Science
On Domain Theory over Girard Quantales
Fundamenta Informaticae
Hi-index | 5.23 |
If a poset lacks joins of directed subsets, one can pass to its ideal completion. But doing this means also changing the setting: The universal property of ideal completion of posets suggests that it should be regarded as a functor from the category of posets with monotone maps to the category of dcpos with Scott-continuous functions as morphisms. The same applies for the quantitative version of ideal completion suggested in the literature. As in the case of posets, it seems advantageous to consider a different topology with the completed spaces. We introduce topological V-continuity spaces and their Smyth completion and show that this is an adequate setting to consider ideal completion of quantitative domains: Performing the Smyth completion of a V-continuity space regarded as topological V-continuity space gives the ideal completion of the original space together with its Scott topology.