A characterization of the category Q-TOP

  • Authors:

  • Sheo Kumar Singh;Arun K. Srivastava

  • Affiliations:

  • Department of Mathematics, Banaras Hindu University, Varanasi 221005, India;Department of Mathematics, Banaras Hindu University, Varanasi 221005, India and Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi 221005, India

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2013

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Abstract

Solovyov introduced in 2008 the notion of a Q-topological space (and Q-continuous maps between them), where Q is a fixed member of a variety of @W-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 Manes in 1974 for the category TOP of topological spaces.