Article ID Journal Published Year Pages File Type
4659483 Topology and its Applications 2011 9 Pages PDF
Abstract

We continue investigating the lattice (q(X),⊆) of quasi-uniformities on a set X. In particular in this article we start investigating permutable pairs of quasi-uniformities. Among other things, we show that the Pervin quasi-uniformity of a topological space X permutes with its conjugate if and only if X is normal and extremally disconnected.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology