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Compatible Uniformities on Pseudometric Spaces

Dr. S. M. Padhye, Priti. P. Umarkar

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.

Keywords: Pseudometric spaces, Completely regular space, Uniformity.

Country: India, Subject Area: Mathematics

Pages: 397 - 399

Edition: Volume 8 Issue 3, March 2019

How to Cite this Article?

Dr. S. M. Padhye, Priti. P. Umarkar, "Compatible Uniformities on Pseudometric Spaces", International Journal of Science and Research (IJSR), https://www.ijsr.net/archive/v8i3/show_abstract.php?id=ART20195563, Volume 8 Issue 3, March 2019, 397 - 399

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