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An asymmetric Arzela-Ascoli theorem


Reference:

Collins, J. and Zimmer, J., 2007. An asymmetric Arzela-Ascoli theorem. Topology and Its Applications, 154 (11), pp. 2312-2322.

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Official URL:

http://dx.doi.org/10.1016/j.topol.2007.03.006

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.

Details

Item Type Articles
CreatorsCollins, J.and Zimmer, J.
DOI10.1016/j.topol.2007.03.006
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code6998
Additional InformationID number: ISI:000247463800010

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