Egerton University, Egerton, Kenya
Online published on 1 February, 2014.
The behavior of separation axioms under perfect mappings has been studied in the realm of topological spaces. In this paper, we extend the characterization of perfect mappings to isotonic spaces and then use this class of continuous functions to investigate the behavior of separation axioms. The hierarchy of separation axioms that is familiar from topological spaces generalizes to spaces with an isotone and expansive closure functions. Neither additivity nor idempotence of the closure function need to be assumed.
