The spectrum of simplicial volume of non-compact manifolds

cam.issuedOnline	2021-09-03
dc.contributor.author	Heuer, Nicolaus
dc.contributor.author	Loeh, Clara
dc.contributor.orcid	Heuer, Nicolaus [0000-0003-3015-0475]
dc.date.accessioned	2021-10-24T16:02:29Z
dc.date.available	2021-10-24T16:02:29Z
dc.date.issued	2021-12
dc.date.submitted	2020-11-05
dc.date.updated	2021-10-24T16:02:28Z
dc.description.abstract	We show that, in dimension at least $4$, the set of locally finite simplicial volumes of oriented connected open manifolds is $[0, \infty]$. Moreover, we consider the case of tame open manifolds and some low-dimensional examples.
dc.identifier.doi	10.17863/CAM.77278
dc.identifier.eissn	1572-9168
dc.identifier.issn	0046-5755
dc.identifier.other	s10711-021-00647-6
dc.identifier.other	647
dc.identifier.uri	https://www.repository.cam.ac.uk/handle/1810/329833
dc.language	en
dc.language.iso	eng
dc.publisher	Springer Science and Business Media LLC
dc.publisher.url	http://dx.doi.org/10.1007/s10711-021-00647-6
dc.subject	math.GT
dc.subject	math.GT
dc.subject	57N65
dc.title	The spectrum of simplicial volume of non-compact manifolds
dc.type	Article
dcterms.dateAccepted	2021-08-10
prism.endingPage	253
prism.issueIdentifier	1
prism.publicationName	Geometriae Dedicata
prism.startingPage	243
prism.volume	215
pubs.funder-project-id	Deutsche Forschungsgemeinschaft (SFB 1085)
rioxxterms.licenseref.uri	http://creativecommons.org/licenses/by/4.0/
rioxxterms.version	VoR
rioxxterms.versionofrecord	10.1007/s10711-021-00647-6

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