On weak neighborhood systems and spaces
type: Item
instance of: scholarly article
title: On weak neighborhood systems and spaces
zbMATH Open document ID: 1199.54020
published in: Acta Mathematica Hungarica
publication date: 2009-12-28T00:00:00Z
review text: Using the notion of weak neighbourhoods [cf. \textit{F. Siwiec}, Pac. J. Math. 52, 233--245 (1974; Zbl 0285.54022)], the author introduces and studies the concepts of weak neighbourhood systems between open neighbourhood systems and generalized neighbourhood systems [cf. \textit{Á. Császár}, Acta Math. Hung. 96, No.~4, 351--357 (2002; Zbl 1006.54003)] of weak neighbourhood spaces (independent of neighbourhood spaces of \textit{D. C. Kent} and the author [Int. J. Math. Math. Sci. 32, No.~7, 387--399 (2002; Zbl 1004.54002)] and of interior operators, closure operators and continuities.
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54A10
Mathematics Subject Classification ID: 54A20
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54D30
zbMATH DE Number: 5651855
zbMATH Keywords: weak neighborhood systems
zbMATH Keywords: weak neighborhood spaces
zbMATH Keywords: \(w\)-open sets
zbMATH Keywords: \(w\)-continuous
zbMATH Keywords: \(w^{\ast}\)-continuous
zbMATH Keywords: \(w(\psi,\psi')\)-continuous
author: Won Keun Min
MaRDI profile type: Publication
full work available at URL: s10474-008-7205-8
OpenAlex ID: W2104434726
cites work: Generalized topology, generalized continuity
cites work: Neighborhood spaces
cites work: Some results on generalized topological spaces and generalized systems
cites work: On defining a space by a weak base
DOI: 10.1007/S10474-008-7205-8
description: scientific article; zbMATH DE number 5651855