Axioms of countability in generalized topological spaces
John Benedict T. Ayawan, Sergio R. Canoy · International Mathematical Forum · 2013
access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The different axioms of countability are generalized in such a way that topologies are replaced by generalized topologies in the sense of [1]. In particular, the concepts such as µ-first countable, µ-second countable, and µ-separable are defined, where µ is a generalized topology on a non-empty set X.