Quasihyperbolic boundary condition: Compactness of the inner boundary

Lammi, Päivi

doi:10.1215/ijm/1371474552

dc.contributor.author	Lammi, Päivi
dc.date.accessioned	2019-03-18T06:58:18Z
dc.date.available	2019-03-18T06:58:18Z
dc.date.issued	2011
dc.identifier.citation	Lammi, P. (2011). Quasihyperbolic boundary condition: Compactness of the inner boundary. <i>Illinois Journal of Mathematics</i>, <i>55</i>(3), 1221-1233. <a href="https://doi.org/10.1215/ijm/1371474552" target="_blank">https://doi.org/10.1215/ijm/1371474552</a>
dc.identifier.other	CONVID_22473485
dc.identifier.other	TUTKAID_56976
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/63157
dc.description.abstract	We prove that if a metric space satisfies a suitable growth condition in the quasihyperbolic metric and the Gehring–Hayman theorem in the original metric, then the inner boundary of the space is homeomorphic to the Gromov boundary. Thus, the inner boundary is compact.	fi
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	University of Illinois
dc.relation.ispartofseries	Illinois Journal of Mathematics
dc.relation.uri	http://projecteuclid.org/euclid.ijm/1371474552
dc.rights	In Copyright
dc.subject.other	Gromov-hyperbolisuus
dc.subject.other	Gromov-reuna
dc.subject.other	kasvuehto
dc.subject.other	kvasihyperbolinen metriikka
dc.subject.other	Gromov boundary
dc.subject.other	Gromov hyperbolicity
dc.subject.other	growth condition
dc.subject.other	quasihyperbolic metric
dc.title	Quasihyperbolic boundary condition: Compactness of the inner boundary
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-201903071773
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.date.updated	2019-03-07T10:15:30Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	1221-1233
dc.relation.issn	0019-2082
dc.relation.numberinseries	3
dc.relation.volume	55
dc.type.version	publishedVersion
dc.rights.copyright	© 2013 University of Illinois
dc.rights.accesslevel	openAccess	fi
dc.format.content	fulltext
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.1215/ijm/1371474552
dc.type.okm	A1