Ditopological texture spaces and fuzzy topology. II: topological considerations
type: Item
instance of: scholarly article
title: Ditopological texture spaces and fuzzy topology. II: topological considerations
zbMATH Open document ID: 1070.54003
author: Lawrence M. Brown
author: Rıza Ertürk
author: Şenol Dost
published in: Fuzzy Sets and Systems
publication date: 2004-11-23T00:00:00Z
review text: Continuing their paper on textures [Fuzzy Sets. Syst. 147, No. 2, 171--199 (2004; Zbl 1070.54002)], the authors define and investigate categories whose objects are ditopological texture spaces and whose morphisms are bicontinuous difunctions or special bicontinuous point functions, several subcategories of this categories and functors between them. Inter alia, they show that these categories have products and coproducts, give a point free characterization of difunctions and present an equivalence with the category of classical Hutton spaces and links with topological spaces, \(\mathbb{L}\)-topological spaces, bitopological spaces et al.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 54E55
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 06D72
zbMATH DE Number: 2118376
zbMATH Keywords: texture
zbMATH Keywords: difunction
zbMATH Keywords: ditopology
zbMATH Keywords: base
zbMATH Keywords: bicontinuity
zbMATH Keywords: category
zbMATH Keywords: initial source
zbMATH Keywords: topological functor
zbMATH Keywords: product
zbMATH Keywords: coproduct
zbMATH Keywords: Hutton space
zbMATH Keywords: \(\mathbb L\)-topological space
zbMATH Keywords: Chang-Goguen fuzzy topology
zbMATH Keywords: topological \(\mathbb I\)-topology
zbMATH Keywords: Lowen functors
zbMATH Keywords: hypergraph functor
reviewed by: Bernhard Behrens
MaRDI profile type: Publication
full work available at URL: j.fss.2004.02.010
OpenAlex ID: W2099907394
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DOI: 10.1016/J.FSS.2004.02.010
description: scientific article; zbMATH DE number 2118376