\(T\)-product fuzzy topology
type: Item
instance of: scholarly article
title: \(T\)-product fuzzy topology
zbMATH Open document ID: 0814.54004
DOI: 10.1016/0165-0114(93)90210-9
author: A. K. Chaudhuri
author: Phullendu Das
published in: Fuzzy Sets and Systems
publication date: 1995-06-20T00:00:00Z
review text: The \(T\)-product \(\tau_ 1 \otimes_ T \tau_ 2\) on \(X_ 1 \times X_ 2\) of fuzzy topological spaces \((X_ 1, \tau_ 1)\) and \((X_ 2, \tau_ 2)\) is defined. Some properties of the \(T\)-product are proved. The projection mappings \(p_ i : {(X_ 1 \times X_ 2, \tau_ 1 \otimes_ T \tau_ 2)}\) \(\to (X_ i, \tau_ i)\), \(i = 1,2\), are continuous. If \((X_ i, \tau_ i)\) are fuzzy Hausdorff spaces then the \(T\)-product is fuzzy Hausdorff, too. If \((X_ 1, \tau_ 1)\) and \((X_ 2, \tau_ 2)\) are separable then the \(T\)-product is also separable. \((X_ 1 \times X_ 2, \tau_ 1 \otimes_ T \tau_ 2)\) is compact iff \((X_ i, \tau_ i)\), \(i = 1,2\), are compact.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54B10
zbMATH DE Number: 496183
zbMATH Keywords: \(T\)-product
reviewed by: Dušan Adnadjević
MaRDI profile type: Publication
full work available at URL: 0165-0114(93)90210-9
OpenAlex ID: W2043170957
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description: scientific article; zbMATH DE number 496183