On zero dimensionality in fuzzy topological spaces
type: Item
instance of: scholarly article
title: On zero dimensionality in fuzzy topological spaces
zbMATH Open document ID: 0885.54006
DOI: 10.1016/0165-0114(00)00269-4
author: Juan Tarrés
author: Eduardo Cuchillo-Ibáñez
published in: Fuzzy Sets and Systems
publication date: 1998-04-22T00:00:00Z
review text: Different concepts of zero dimensionality in fuzzy topological spaces are studied. The \(c\)-zero (strongly \(c\)-zero) dimensionality, studied by \textit{N. Ajmal} and \textit{J. K. Kohli} [ibid. 61, No. 2, 231-237 (1994; Zbl 0847.54008)] in fuzzy topological spaces, is not a ``good extension'' of the zero small (large) inductive dimension in topological spaces. A fuzzy topological space \(X\) is strongly \(c\)-zero dimensional iff \(\dim_f X=0\). If each \(A_i\) is a closed, strongly \(c\)-zero dimensional fuzzy subspace of a fuzzy topological space \(X= \bigcup_{i=1}^n A_i\), then \(X\) is strongly \(c\)-zero dimensional.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 1064294
zbMATH Keywords: zero dimensionality
reviewed by: Dušan Adnadjević
MaRDI profile type: Publication
full work available at URL: 0165-0114(00)00269-4
OpenAlex ID: W2076142575
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description: scientific article; zbMATH DE number 1064294