Sequences suffice for pointfree uniform completions
Abstract Completions of metric spaces are usually constructed using Cauchy sequences. However, this does not work for general uniform spaces, where Cauchy filters or nets must be used instead. The situation in pointfree topology is more straightforward: the correct completion of uniform locales can indeed be obtained as a quotient of a locale of Cauchy sequences.
Authors
- Graham Manuell (ORCID: https://orcid.org/0000-0002-3556-5293)
Institutions
- Stellenbosch University (ZA)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-08-01
- DOI
- https://doi.org/10.1112/jlms.70272
- Primary Topic
- Advanced Algebra and Logic
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Universidade de Coimbra