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1995 | OriginalPaper | Buchkapitel

Uniformities

verfasst von : Norman R. Howes

Erschienen in: Modern Analysis and Topology

Verlag: Springer New York

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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.

Metadaten
Titel
Uniformities
verfasst von
Norman R. Howes
Copyright-Jahr
1995
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-0833-4_2