Abstract
The concept of a metric space leads naturally to the concept of a uniform space, especially if one approaches the topic from the point of view of covering uniformities. The first development of uniform spaces by A. Weil titled Sur les espaces à structure uniforme et sur la topologie générale published in Actualities Sci. Ind. 551, Paris, 1937 took a different approach. It involved a family of pseudo-metrics that generate the topology of the space as opposed to a family of coverings. Weil’s original approach was rather unwieldy and was soon replaced by two others.
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© 1995 Springer-Verlag New York, Inc.
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Howes, N.R. (1995). Uniformities. In: Modern Analysis and Topology. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0833-4_2
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DOI: https://doi.org/10.1007/978-1-4612-0833-4_2
Publisher Name: Springer, New York, NY
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