Characterizations of generalized John domains via homological bounded turning

Goldstein, Paweł; Grochulska, Zofia; Guo, Chang-Yu; Koskela, Pekka; Nandi, Debanjan

doi:10.4064/cm9084-7-2024

dc.contributor.author	Goldstein, Paweł
dc.contributor.author	Grochulska, Zofia
dc.contributor.author	Guo, Chang-Yu
dc.contributor.author	Koskela, Pekka
dc.contributor.author	Nandi, Debanjan
dc.date.accessioned	2024-10-24T06:54:52Z
dc.date.available	2024-10-24T06:54:52Z
dc.date.issued	2024
dc.identifier.citation	Goldstein, P., Grochulska, Z., Guo, C.-Y., Koskela, P., & Nandi, D. (2024). Characterizations of generalized John domains via homological bounded turning. <i>Colloquium Mathematicum</i>, <i>Early online</i>. <a href="https://doi.org/10.4064/cm9084-7-2024" target="_blank">https://doi.org/10.4064/cm9084-7-2024</a>
dc.identifier.other	CONVID_243320140
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/97661
dc.description.abstract	We extend the characterization of John disks obtained by Näkki and Väisälä (1991) to generalized John domains in higher dimensions under mild assumptions. The main ingredient in this characterization is to use the higher-dimensional analogues of local linear connectivity (LLC) and homological bounded turning properties introduced by Väisälä in his 1997 study of metric duality theory. Somewhat surprisingly, we construct a uniform domain in R3, which is topologically simple, such that the complementary domain fails to be homotopically 1-bounded turning. In particular, this shows that a similar characterization of generalized John domains in terms of higher-dimensional homotopic bounded turning does not hold in dimension 3.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Institute of Mathematics, Polish Academy of Sciences
dc.relation.ispartofseries	Colloquium Mathematicum
dc.rights	In Copyright
dc.subject.other	John domain
dc.subject.other	uniform domain
dc.subject.other	ball separation property
dc.subject.other	homological bounded turning
dc.subject.other	homotopical bounded turning
dc.subject.other	57N65
dc.subject.other	55M05
dc.title	Characterizations of generalized John domains via homological bounded turning
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202410246518
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	0010-1354
dc.relation.volume	Early online
dc.type.version	publishedVersion
dc.rights.copyright	© Instytut Matematyczny PAN, 2024
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	323960
dc.subject.yso	topologiset avaruudet
dc.subject.yso	algebrallinen topologia
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p27852
jyx.subject.uri	http://www.yso.fi/onto/yso/p27954
dc.rights.url	http://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi	10.4064/cm9084-7-2024
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	P. Goldstein was partially supported by FNP grant POMOST BIS/2012-6/3 and by NCN grant no. 2012/05/E/ST1/03232. C.-Y. Guo is supported by the Young Scientist Program of the Ministry of Science and Technology of China (No. 2021YFA1002200), the National Natural Science Foundation of China (No. 12101362), the Natural Science Foundation of Shandong Province (No. ZR2021QA003) and the Taishan Scholar project. P. Koskela was partially supported by the Academy of Finland grant 323960.
dc.type.okm	A1