On strongly \(\alpha\)-irresolute mappings
type: Item
instance of: scholarly article
title: On strongly \(\alpha\)-irresolute mappings
zbMATH Open document ID: 0617.54012
author: Giovanni Lo Faro
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: A set A in a topological space is called an \(\alpha\)-set [\textit{D. Njåstad}, Pac. J. Math. 15, 961-970 (1965; Zbl 0137.419)] if \(A\subset Int(Cl(Int A))\). The collection of all \(\alpha\)-open sets is a topology called \(\alpha\)-topology. Combining the topologies and \(\alpha\)- topologies of topological spaces X, Y various kinds of generalized continuity (or irresoluteness) were introduced. The author introduces the strong \(\alpha\)-irresoluteness and studies some properties of strongly \(\alpha\)-irresolute mappings.
Mathematics Subject Classification ID: 54C10
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 4000958
zbMATH Keywords: \(\alpha \)-topology
zbMATH Keywords: generalized continuity
zbMATH Keywords: strongly \(\alpha \)-irresolute mappings
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4000958