Density and \(\mathcal I\)-density continuous homeomorphisms
type: Item
instance of: scholarly article
title: Density and \(\mathcal I\)-density continuous homeomorphisms
zbMATH Open document ID: 0787.26003
published in: Real Analysis Exchange
publication date: 1994-05-16T00:00:00Z
review text: The aim of the paper is to prove that the following classes of real functions of a real variable are closed with respect to addition: density continuous increasing homeomorphisms, \(\mathcal I\)-density continuous increasing homeomorphisms, increasing homeomorphisms preserving \(\mathcal I\)- density points. A similar fact concerning increasing homeomorphisms preserving density points has been proved by J. Niewiarowski in 1980. The theorems are not longer true if one of the homeomorphisms is decreasing even when their sum is still increasing.
Mathematics Subject Classification ID: 26A03
Mathematics Subject Classification ID: 26A30
zbMATH DE Number: 465096
zbMATH Keywords: \(\mathcal I\)-density continuous increasing homeomorphisms
zbMATH Keywords: \(\mathcal I\)-density points
author: Krzysztof Chris Ciesielski
reviewed by: Władysław Wilczyński
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 465096