Ditopological texture spaces and fuzzy topology. II: topological considerations
Continuing their paper on textures [Fuzzy Sets. Syst. 147, No. 2, 171--199 (2004; Zbl 1070.54002)], the authors define and investigate categories whose objects are ditopological texture spaces and whose morphisms are bicontinuous difunctions or special bicontinuous point functions, several subcategories of this categories and functors between them. Inter alia, they show that these categories have products and coproducts, give a point free characterization of difunctions and present an equivalence with the category of classical Hutton spaces and links with topological spaces, \(\mathbb{L}\)-topological spaces, bitopological spaces et al.
scientific article; zbMATH DE number 2118376