On almost strongly \(\theta\)-continuous functions
type: Item
instance of: scholarly article
title: On almost strongly \(\theta\)-continuous functions
zbMATH Open document ID: 0542.54011
author: T. Noiri
author: Shin Min Kang
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1984-01-01T00:00:00Z
review text: Almost strongly \(\theta\)-continuous functions are introduced. A function f:(X,T)\(\to(Y,S)\) is almost strongly \(\theta\)-continuous iff for each \(x\in X\) and each \(V\in S\) such that f(x)\(\in V\), there exist \(U\in T\) such that \(x\in U\) and f(Ū)\(\subset Int(\bar V)\). Properties of almost strongly \(\theta\)-continuous functions are investigated and characterizations of almost strongly \(\theta\)-continuous functions are given using regular open sets, \(\theta\)-open sets, regular closed sets, \(\theta\)-closed sets, \(\delta\)-open sets and \(\delta\)-closed sets. Each of almost-regular, weakly Hausdorff, quasi H-closed, N-closed, and nearly-compact are further investigated in the investigation of almost strongly \(\theta\)-continuous functions.
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 3861987
zbMATH Keywords: quasi H-closed space
zbMATH Keywords: nearly compact space
zbMATH Keywords: almost strongly \(\theta\)- continuous functions
zbMATH Keywords: regular open sets
zbMATH Keywords: \(\theta\)-open sets
zbMATH Keywords: regular closed sets
reviewed by: Charles Dorsett
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3861987