Intrinsic approach spaces on domains

Eva Colebunders, Sarah De Wachter, Bob Lowen, [No Value] Elsevier (Editor)

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The paper is a contribution to quantifiability of domains. We show that every domain X, regardless of cardinality conditions for a domain bases, is quantifiable in the sense that there exists an approach structure on X, defined by means of a gauge of quasi metrics, inducing the Scott topology. We get weightability for free and in the case of an algebraic domain satisfying the Lawson condition, a quantifying approach space can be obtained with a weight satisfying the kernel condition.
Original languageEnglish
Pages (from-to)2344-2355
Number of pages11
JournalTopology and its Applications
Volume158
Issue numberdoi 10.1016/j.topol.2011.01.025
Publication statusPublished - 2011

Bibliographical note

Elsevier

Keywords

  • domain, continuous dcpo, weightable quasi metric,

Fingerprint Dive into the research topics of 'Intrinsic approach spaces on domains'. Together they form a unique fingerprint.

Cite this