Quotient structure of interior-closure texture spaces

Şenol Dost
2015 Filomat  
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
more » ... interior-closure texture spaces.
doi:10.2298/fil1505947d fatcat:hk5ncvqyb5ft3js34pwenll7de