Ditopological texture spaces and fuzzy topology - III: Separation axioms

This is the third of three papers which develop various fundamental aspects of the theory of ditopological texture spaces and relate this work with the theory of fuzzy topological spaces. In this paper, the authors define and study basic separation axioms in general ditopological texture spaces, relating these to known separation axioms for bitopological and topological spaces, and to the point-free separation axioms of B. Hutton and I. Reilly for fuzzy topological spaces. © 2006 Elsevier B.V. All rights reserved. MSC: primary 54A05;54A40; 54D10; 54D15; secondary 06D10;03E20; 54E15; 54E55