A characterization of point semiuniformities

Jennifer P. Montgomery

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-6

Abstract:

The concept of a uniformity was developed by A. Well and there have been several generalizations. This paper defines a point semiuniformity and gives necessary and sufficient conditions for a topological space to be point semiuniformizable. In addition, just as uniformities are associated with topological groups, a point semiuniformity is naturally associated with a semicontinuous group. This paper shows that a point semiuniformity associated with a semicontinuous group is a uniformity if and only if the group is a topological group.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:916982

DOI: 10.1155/S0161171296000439

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