A characterization of the category Q-TOP

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• 作者：Sheo Kumar Singh ; Arun K. Srivastava
• 关键词：Q-topology ; ¦¸¦¸-algebra ; Category
• 刊名：Fuzzy Sets and Systems
• 出版年：2013
• 出版时间：16 September, 2013
• 年：2013
• 卷：227
• 期：Complete
• 页码：46-50
• 全文大小：197 K

文摘

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 -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.