@article{39cda3814809464c8bb662c2d5968a81,
title = "An asymmetric Arzel{\`a}-Ascoli theorem",
abstract = "An Arzel{\`a}-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.",
keywords = "Arzel{\`a}-Ascoli, Forward and backward topology, Quasimetric",
author = "Julia Collins and Johannes Zimmer",
note = "Funding Information: The results presented here were obtained in a summer research project for undergraduates. We gratefully acknowledge the financial support of the Nuffield foundation through an Undergraduate Research Bursary (URB / 01953 / A 29964). JZ gratefully acknowledges the financial support of the EPSRC through an Advanced Research Fellowship (GR / S99037 / 1). We thank Isaac Chenchiah, Hans-Peter K{\"u}nzi and Marc Oliver Rieger for helpful discussions. JC thanks John Toland for the inspiration to study metric spaces.",
year = "2007",
month = jun,
day = "1",
doi = "10.1016/j.topol.2007.03.006",
language = "English",
volume = "154",
pages = "2312--2322",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier B.V.",
number = "11",
}