Q-SOB as an epireflecive hull in Q-$TOP_0$
We show that the epireflective hull of the Q-Sierpinski space in the category Q-$TOP_0$ of $T_0$ Q-topological spaces is the category Q-SOB of Q-sober topological spaces.
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arXiv subjects
Sheo Kumar Singh
Publications and source records attributed to Sheo Kumar Singh.
Another Sierpinski object in BFTS
We identify a Sierpinski object in the category of fuzzy bitopological spaces, which is different from the two Sierpinski objects in this category, obtained earlier by Khastgir and Srivastava ['On two epireflective subcategories of the category of 2$T_0$-fuzzy bitopological spaces', Quaestiones Mathematicae, 23 (2000) 163-177].
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A characterization of the category Q-TOP
S.A. Solovyov (2008) has recently introduced the notion of a Q-topological space (and Q-continuous maps between them), where Q is a fixed member of a variety of Omega-algebras, which in turn gives rise to the category Q-TOP of such spaces. The purpose of this note is to give a characterization of this category (in a large class of categories), in terms of a 'Sierpinski-like' object, which is similar to the one given by E.G. Manes in 1976 for the category TOP of topological spaces.
math.CT↗