Rectifiability of RCD(K,N) spaces via δ-splitting maps

Bruè, Elia; Pasqualetto, Enrico; Semola, Daniele

doi:10.5186/aasfm.2021.4627

dc.contributor.author	Bruè, Elia
dc.contributor.author	Pasqualetto, Enrico
dc.contributor.author	Semola, Daniele
dc.date.accessioned	2021-07-05T10:06:14Z
dc.date.available	2021-07-05T10:06:14Z
dc.date.issued	2021
dc.identifier.citation	Bruè, E., Pasqualetto, E., & Semola, D. (2021). Rectifiability of RCD(K,N) spaces via δ-splitting maps. <i>Annales Fennici Mathematici</i>, <i>46</i>(1), 465-482. <a href="https://doi.org/10.5186/aasfm.2021.4627" target="_blank">https://doi.org/10.5186/aasfm.2021.4627</a>
dc.identifier.other	CONVID_98417072
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/76994
dc.description.abstract	In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The arguments are inspired by the Cheeger-Colding theory for Ricci limits and rely on the second order differential calculus developed by Gigli and on the convergence and stability results by Ambrosio-Honda.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Finnish Mathematical Society
dc.relation.ispartofseries	Annales Fennici Mathematici
dc.rights	CC BY-NC 4.0
dc.subject.other	Rectifiability
dc.subject.other	RCD space
dc.subject.other	tangent cone
dc.title	Rectifiability of RCD(K,N) spaces via δ-splitting maps
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202107054180
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.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	465-482
dc.relation.issn	2737-0690
dc.relation.numberinseries	1
dc.relation.volume	46
dc.type.version	publishedVersion
dc.rights.copyright	© 2021 The Finnish Mathematical Society
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.subject.yso	differentiaaligeometria
dc.subject.yso	metriset avaruudet
dc.subject.yso	matemaattinen analyysi
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
jyx.subject.uri	http://www.yso.fi/onto/yso/p27753
jyx.subject.uri	http://www.yso.fi/onto/yso/p19485
dc.rights.url	https://creativecommons.org/licenses/by-nc/4.0/
dc.relation.doi	10.5186/aasfm.2021.4627
dc.type.okm	A1