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Compatible Uniformities on Pseudometric Spaces
Journal: International Journal of Science and Research (IJSR) (Vol.8, No. 3)Publication Date: 2019-03-05
Authors : S. M. Padhye; Priti. P. Umarkar;
Page : 397-399
Keywords : Pseudometric spaces; Completely regular space; Uniformity;
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Abstract
In this paper we construct different uniformities on a pseudo metric space which are compatible with the topology of the pseudo metric space. It is proved that on a pseudo metric space there may be unequal uniformities compatible with the topology out of which one is uniformly continuous uniformity while the other need not be.
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