On the domain invariance of countably condensing vector fields
type: Item
instance of: scholarly article
title: On the domain invariance of countably condensing vector fields
zbMATH Open document ID: 1081.47056
author: In-Sook Kim
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-06-10T00:00:00Z
review text: It is shown that continuous maps of the form \(\text{ id}-F\) are open if they are locally one-to-one and if \(F\) decreases a measure of noncompactness of countable sets by at least a factor \(k<1\). Actually, the injectivity hypothesis is slightly relaxed. Since the first assumption is satisfied for compact maps, the classical results on the domain invariance of injective functions are a special case.
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 55P05
zbMATH DE Number: 2174924
zbMATH Keywords: domain invariance
zbMATH Keywords: countably condensing map
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: open map
zbMATH Keywords: degree theory
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.10.004
OpenAlex ID: W2074886895
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DOI: 10.1016/J.JMAA.2004.10.004
description: scientific article; zbMATH DE number 2174924