The N\(^{-1}\)-property of maps and Luzin's condition (N)
type: Item
instance of: scholarly article
title: The N\(^{-1}\)-property of maps and Luzin's condition (N)
zbMATH Open document ID: 0862.26005
DOI: 10.1007/BF02304773
author: S. P. Ponomarev
published in: Mathematical Notes
publication date: 1997-04-21T00:00:00Z
review text: We say that a function \(f:G \to R^n\), where \(G\) is an open set in \(R^n\), has the N\(^{-1}\)-property if the inverse image of a null set is a null set. The paper deals with the relation between the N\(^{-1}\)-property of functions, the maximal rank of approximate derivatives and the differentiability a.e. of superpositions of functions. It should be noted that in the English version the definition of \(\Delta(G)\) is not complete -- the property of a.e. differentiability is missing.
Mathematics Subject Classification ID: 26B40
Mathematics Subject Classification ID: 26B10
zbMATH DE Number: 898943
zbMATH Keywords: Luzin (N)-condition
zbMATH Keywords: N\(^{-1}\)-property
zbMATH Keywords: maximal rank of approximate derivatives
zbMATH Keywords: differentiability a.e.
zbMATH Keywords: superpositions
reviewed by: Jerzy Niewiarowski
MaRDI profile type: Publication
cites work: Q5768777
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full work available at URL: https://doi.org/10.1007/bf02304773
OpenAlex ID: W2072637957
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description: scientific article; zbMATH DE number 898943