The Peano curve and \(\mathcal I\)-approximate differentiability
type: Item
instance of: scholarly article
title: The Peano curve and \(\mathcal I\)-approximate differentiability
zbMATH Open document ID: 0762.26005
published in: Real Analysis Exchange
publication date: 1992-10-05T00:00:00Z
review text: The main result of the paper says that the first coordinate function of the classical Peano area-filling curve is \({\mathcal I}\)-density and deep \({\mathcal I}\)-density continuous and nowhere \({\mathcal I}\)-approximately differentiable. The paper includes also an example of a bounded \({\mathcal I}\)-approximately continuous function which is not a derivative.
Mathematics Subject Classification ID: 26A27
Mathematics Subject Classification ID: 26A30
zbMATH DE Number: 68379
zbMATH Keywords: first coordinate function
zbMATH Keywords: Peano area-filling curve
zbMATH Keywords: deep \({\mathcal I}\)- density continuous
zbMATH Keywords: nowhere \({\mathcal I}\)-approximately differentiable
author: Krzysztof Chris Ciesielski
author: Lee Larson
reviewed by: Jerzy Niewiarowski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 68379