Independent Bernstein sets and algebraic constructions
type: Item
instance of: scholarly article
title: Independent Bernstein sets and algebraic constructions
zbMATH Open document ID: 1253.26002
author: Artur Bartoszewicz
author: Marek Bienias
author: Szymon Glab
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-07-04T00:00:00Z
review text: This paper is mainly devoted to the thorough study of the following recently considered classes of functions: 1) Perfectly everywhere surjective, strongly everywhere surjective and everywhere discontinuous Darboux functions, 2) Everywhere discontinuous functions that have finitely many values and everywhere discontinuous compact to compact functions, 3) Functions that are continuous in a fixed closed set \(C\). The results (even the definitions) are too complicated to be presented here.
reviewed by: József Sándor
Mathematics Subject Classification ID: 26A27
Mathematics Subject Classification ID: 46E15
Mathematics Subject Classification ID: 28A20
zbMATH DE Number: 6052838
zbMATH Keywords: algebrability
zbMATH Keywords: perfectly everywhere surjective functions
zbMATH Keywords: strongly everywhere surjective functions
zbMATH Keywords: nowhere continuous Darboux functions
zbMATH Keywords: nowhere continuous compact to compact functions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.03.007
OpenAlex ID: W2095469803
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DOI: 10.1016/J.JMAA.2012.03.007
description: scientific article; zbMATH DE number 6052838