Theta topological groups
type: Item
instance of: scholarly article
title: Theta topological groups
zbMATH Open document ID: 0798.22002
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1994-11-03T00:00:00Z
review text: A function \(f\) mapping the topological space \(X\) to the topological space \(Y\) is said to be theta continuous if for each neighbourhood \(V\) of \(f(x)\) with \(x \in X\) there is a neighbourhood \(U\) of \(x\) with \(f(\overline{U}) \subseteq \overline{V}\). This notion is weaker than continuity, but coincides with continuity for regular topological spaces. The notion of a theta topological group is defined in the obvious way. The paper establishes some basic properties of such objects, and provides some examples.
reviewed by: John W.Baker
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 54C08
zbMATH DE Number: 459016
zbMATH Keywords: theta continuous mapping
zbMATH Keywords: regular topological spaces
zbMATH Keywords: theta topological group
author: Edwin Beggs
author: Esref Hatir
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 459016