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Research Paper | Mathematics | India | Volume 8 Issue 3, March 2019
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