An asymmetric Arzela-Ascoli theorem

J Collins, J Zimmer

Research output: Contribution to journalArticle

20 Citations (Scopus)
63 Downloads (Pure)

Abstract

An Arzela-Ascoli theorem for asymmetric metric spaces (sometimes called quasi-metric spaces) is proved. One genuinely asymmetric condition is introduced, and it is shown that several classic statements fail in the asymmetric context if this assumption is dropped.
Original languageEnglish
Pages (from-to)2312-2322
Number of pages11
JournalTopology and Its Applications
Volume154
Issue number11
Early online date3 Apr 2007
DOIs
Publication statusPublished - 1 Jun 2007

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Arzela-Ascoli Theorem
Quasi-metric Space
Metric space

Cite this

An asymmetric Arzela-Ascoli theorem. / Collins, J; Zimmer, J.

In: Topology and Its Applications, Vol. 154, No. 11, 01.06.2007, p. 2312-2322.

Research output: Contribution to journalArticle

Collins, J ; Zimmer, J. / An asymmetric Arzela-Ascoli theorem. In: Topology and Its Applications. 2007 ; Vol. 154, No. 11. pp. 2312-2322.
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