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.

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