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Coarse property C and decomposition complexity
dc.abstract.en | The 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.affiliation | Uniwersytet Warszawski |
dc.contributor.author | Moran, D. |
dc.contributor.author | Bell, G. |
dc.contributor.author | Nagórko, Andrzej |
dc.date.accessioned | 2024-01-24T19:30:47Z |
dc.date.available | 2024-01-24T19:30:47Z |
dc.date.issued | 2017 |
dc.description.finance | Nie dotyczy |
dc.identifier.doi | 10.1016/J.TOPOL.2016.04.006 |
dc.identifier.issn | 0166-8641 |
dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/103182 |
dc.language | eng |
dc.pbn.affiliation | mathemathics |
dc.relation.ispartof | Topology and its Applications |
dc.rights | ClosedAccess |
dc.sciencecloud | nosend |
dc.subject.en | Coarse geometry |
dc.subject.en | Asymptotic property C |
dc.subject.en | Finite decomposition complexity |
dc.subject.en | Asymptotic dimension |
dc.title | Coarse property C and decomposition complexity |
dc.type | JournalArticle |
dspace.entity.type | Publication |