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Research Paper | Mathematics | India | Volume 8 Issue 3, March 2019 | Popularity: 6.3 / 10

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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

Edition: Volume 8 Issue 3, March 2019

Pages: 397 - 399

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