Abstract:In this paper, we consider quotient structure and quotient difunctions in the context of interior and closure operators on textures in the sense of Dikranjan-Giuli. The generalizations of several results concerning separation and quotient mapping are presented. It is shown that the category of interior-closure spaces and bicontinuous difunctions has a T 0 reflection. Finally, we introduce some classes of quotient difunctions such as bi-initial and bi-final difunctions between interior-closure texture spaces.
The purpose of this paper is to introduce and study weak structure on texture spaces. In this context, the notion of weak semi-open sets and weak bicontinuity are defined in weak distructure texture spaces, and is presented some characterization.
The purpose of this paper is to introduce and study weak structure on texture spaces. In this context, the notion of weak semi-open sets and weak bicontinuity are defined in weak distructure texture spaces, and is presented some characterization.
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