Maximal additive and maximal multiplicative family for the class of simply continuous functions
type: Item
instance of: scholarly article
title: Maximal additive and maximal multiplicative family for the class of simply continuous functions
zbMATH Open document ID: 0829.54013
published in: Real Analysis Exchange
publication date: 1995-05-18T00:00:00Z
review text: Let \(X\) be a topological space. A function \(f\) from \(X\) to \(\mathbb{R}\) is simply continuous if for each open set \(V\) \(f^{-1}(V)\) is the union of an open and of a nowhere dense set. In this paper the maximal (additive and multiplicative) families are examined.
Mathematics Subject Classification ID: 54C30
Mathematics Subject Classification ID: 54C08
Mathematics Subject Classification ID: 54C35
zbMATH DE Number: 756665
zbMATH Keywords: maximal additive family
zbMATH Keywords: maximal multiplicative family
zbMATH Keywords: simply continuous functions
zbMATH Keywords: cliquishness
author: Ján Borsík
reviewed by: Zbigniew Grande
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 756665