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Decomposition theorems for asymptotic property C and property A

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cris.lastimport.scopus2024-02-12T20:47:38Z
dc.abstract.enWe combine aspects of the notions of finite decomposition complexity and asymptotic property C into a notion that we call finite APC-decomposition complexity. Any space with finite decomposition complexity has finite APC-decomposition complexity and any space with asymptotic property C has finite APC-decomposition complexity. Moreover, finite APC-decomposition complexity implies property A for metric spaces. We also show that finite APC-decomposition complexity is preserved by direct products of groups and spaces, amalgamated products of groups, and group extensions, among other constructions.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBell, G.
dc.contributor.authorNagórko, Andrzej
dc.contributor.authorGłodkowski, Damian
dc.date.accessioned2024-01-24T21:18:19Z
dc.date.available2024-01-24T21:18:19Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.volume256
dc.identifier.doi10.1016/J.TOPOL.2019.02.013
dc.identifier.issn0166-8641
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/104410
dc.identifier.weblinkhttps://api.elsevier.com/content/article/PII:S0166864118306849?httpAccept=text/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofTopology and its Applications
dc.relation.pages248-261
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleDecomposition theorems for asymptotic property C and property A
dc.typeJournalArticle
dspace.entity.typePublication