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Formal continuity implies uniform continuity near compact images on metric spaces
Stockholm University, Faculty of Science, Department of Mathematics.
2014 (English)In: Mathematical logic quarterly, ISSN 0942-5616, E-ISSN 1521-3870, Vol. 60, no 1-2, 66-69 p.Article in journal (Refereed) Published
Abstract [en]

The localic completion of a metric space induces a canonical notion of continuous map between metric spaces. It is shown that these maps are continuous in the sense of Bishop constructive mathematics, i.e., uniformly continuous near every compact image. 

Place, publisher, year, edition, pages
2014. Vol. 60, no 1-2, 66-69 p.
National Category
Algebra and Logic
Research subject
Mathematical Logic
Identifiers
URN: urn:nbn:se:su:diva-102028DOI: 10.1002/malq.201200006ISI: 000331901500009OAI: oai:DiVA.org:su-102028DiVA: diva2:706842
Available from: 2014-03-22 Created: 2014-03-22 Last updated: 2017-12-05Bibliographically approved

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Palmgren, Erik
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