Generalized locally closed sets and \(GLC\)-continuous functions
type: Item
instance of: scholarly article
title: Generalized locally closed sets and \(GLC\)-continuous functions
zbMATH Open document ID: 0851.54002
author: P. Sundaram
author: H. Maki
author: Krishnan Balachandran
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1996-09-26T00:00:00Z
review text: A subset \(S\) of a topological space \(X\) is called locally closed if \(S\) is the intersection of an open set and a closed set. This notion was investigated in a paper by \textit{I. Reilly} and the reviewer [Int. J. Math. Math. Sci. 12, 417-424 (1989; Zbl 0676.54014)] in which they also introduced and studied the related notions of LC-irresoluteness, LC-continuity and sub-LC-continuity of functions. In the present paper the authors replace `locally closed' by `generalized locally closed', where a subset is generalized locally closed if it is the intersection of a g-open and a g-closed set, and they prove a bunch of results in the spirit of the above mentioned paper by Reilly and the reviewer.
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54C08
zbMATH DE Number: 903302
zbMATH Keywords: generalized locally closed set
zbMATH Keywords: GLC-continuous
reviewed by: Maximilian Ganster
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 903302