ISSN: 2319-7064
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