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Coarse property C and decomposition complexity

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dc.abstract.enThe coarse category was established by Roe [20] to distill the salient features of the large-scale approach to metric spaces and groups that was started by Gromov [13]. In this paper, we use the language of coarse spaces to define coarse versions of asymptotic property C [6] and decomposition complexity [16]. We prove that coarse property C implies coarse property A; we also show that these coarse versions share many of the features of their metric analogs such as preservation by products or unions.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMoran, D.
dc.contributor.authorBell, G.
dc.contributor.authorNagórko, Andrzej
dc.date.accessioned2024-01-24T19:30:47Z
dc.date.available2024-01-24T19:30:47Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.identifier.doi10.1016/J.TOPOL.2016.04.006
dc.identifier.issn0166-8641
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/103182
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofTopology and its Applications
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enCoarse geometry
dc.subject.enAsymptotic property C
dc.subject.enFinite decomposition complexity
dc.subject.enAsymptotic dimension
dc.titleCoarse property C and decomposition complexity
dc.typeJournalArticle
dspace.entity.typePublication