On Q-sobriety

Abstract

The study of xed-basis variety-based topology was initiated by S.A. Solovyov (in 2008), which, among other things, generalizes fuzzy topology. We extend within this framework, an earlier result due to Srivastava et al. (in 1998), which showed that the category of sober fuzzy topological spaces is the epire ective hull of the fuzzy Sierpinski space in the category of T0-fuzzy topological spaces.