1995 | OriginalPaper | Buchkapitel
Uniformities
verfasst von : Norman R. Howes
Erschienen in: Modern Analysis and Topology
Verlag: Springer New York
Enthalten in: Professional Book Archive
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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.