Compatible Uniformities on Pseudometric Spaces
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
How to Cite?: Dr. S. M. Padhye, Priti. P. Umarkar, "Compatible Uniformities on Pseudometric Spaces", Volume 8 Issue 3, March 2019, International Journal of Science and Research (IJSR), Pages: 397-399, https://www.ijsr.net/getabstract.php?paperid=ART20195563, DOI: https://dx.doi.org/10.21275/ART20195563