Fuzzy Sierpinski space
type: Item
instance of: scholarly article
title: Fuzzy Sierpinski space
zbMATH Open document ID: 0555.54006
DOI: 10.1016/0022-247X(84)90160-4
author: Arun K. Srivastava
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: The author gives a definition of Sierpinski space in the fuzzy setting in a different manner. With \(S=I\) (the unit interval), \(u=\{\emptyset,S,i\}\), where \(i\in I^ I\) is the identity function, the author calls (S,u) the fuzzy Sierpinski space. For a category C with structure, the author shows that C is isomorphic to the category of fuzzy topological spaces iff there exists a fuzzy Sierpinski space (S,u) with underlying set [0,1] satisfying some specified conditions. The theorem is very near to its topological analogue.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 18D35
zbMATH DE Number: 3884940
zbMATH Keywords: fuzzy Sierpinski space
reviewed by: Sobhakar Ganguly
MaRDI profile type: Publication
cites work: Fuzzy Sierpinski space and its generalizations
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description: scientific article; zbMATH DE number 3884940