International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

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