Sizable is Equivalent to Submetrizable PDF

Keywords

theorem, mathematics, topology

Abstract

The following result is proved in this paper: Let X be a topological space. Then the following are equivalent: a) X is sub sizable b) X is sizable c) X is submetrizable Several results are obtained as corollaries of the above theorem. These corollaries show the powerfulness of this theorem and show that the further study of sizable spaces is unwarranted