Abstract and concrete categories
Abstract and concrete categories
Ditopological texture spaces and intuitionistic sets
Fuzzy Sets and Systems - Special issue on topics of the mathematics of fuzzy objects
Connectedness in ditopological texture spaces
Fuzzy Sets and Systems
Fuzzy sets as texture spaces: I. Representation theorems
Fuzzy Sets and Systems
Fuzzy sets as textures spaces, II. Subtextures and quotient textures
Fuzzy Sets and Systems
Textural approach to generalized rough sets based on relations
Information Sciences: an International Journal
L-topological spaces as spaces of points
Fuzzy Sets and Systems
Textures and covering based rough sets
Information Sciences: an International Journal
International Journal of Approximate Reasoning
Fundamenta Informaticae - Advances in Rough Set Theory
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In this paper we point out that textures, simple textures and plain textures are, respectively, isomorphic to C-spaces, sober C-spaces and partially ordered sets. Using the isomorphism between textures and C-spaces, we show that subtextures, quotient textures, sums and products of textures can be identified as subspaces, quotient spaces, sums and products of C-spaces. Furthermore, it is shown that textures, except discrete textures, do not satisfy any separation axioms (T"1,...,T"4) other than T"0, and so they are not pseudometrizable. Then we also give four useful characterizations of the complete distributivity condition of textures.