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Crossed modules and Whitehead sequences

2016-10-13Artigo científico Acesso aberto
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dc.contributor.authorMartins-Ferreira, Nelson
dc.date.accessioned2025-05-20T10:13:59Z
dc.date.available2025-05-20T10:13:59Z
dc.date.issued2016-10-13
dc.description.abstractWe introduce the notion ofWhitehead sequence which is defined for a base category together with a system of abstract actions over it. In the classical case of groups and group actions theWhitehead sequences are precisely the crossed modules of groups. For a general setting we give sufficient conditions for the existence of a categorical equivalence between internal groupoids and Whitehead sequences.por
dc.description.sponsorshipResearch supported by IPleiria/CDRSP, FCT Post-doc Grant SFRH/BPD/43216/2008 at CMUC and FCT Projects PTDC/EME-CRO/120585/2010 and UID/ Multi/04044/2013.
dc.identifier.doi10.1007/s40062-016-0159-6
dc.identifier.issn2193-8407
dc.identifier.issn1512-2891
dc.identifier.urihttp://hdl.handle.net/10400.8/12936
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer Science and Business Media LLC
dc.relationCentre for Rapid and Sustainable Product Development
dc.relation.hasversionhttps://www.scopus.com/record/display.uri?eid=2-s2.0-85002497888&doi=10.1007%2fs40062-016-0159-6&origin=inward&txGid=eee46760bfafe38a0c5b21745c798e7e
dc.relation.ispartofJournal of Homotopy and Related Structures
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectWhitehead sequence
dc.subjectAction-system
dc.subjectOrganic morphism
dc.subjectExact-right-patch
dc.subjectProtomodular category
dc.subjectCrossed module
dc.subjectSimplicial object
dc.subjectInternal groupoid
dc.titleCrossed modules and Whitehead sequences
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCentre for Rapid and Sustainable Product Development
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04044%2F2013/PT
oaire.citation.endPage921
oaire.citation.issue4
oaire.citation.startPage893
oaire.citation.titleJournal of Homotopy and Related Structures
oaire.citation.volume11
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameMartins-Ferreira
person.givenNameNelson
person.identifier485301
person.identifier.ciencia-idB115-B65E-24AA
person.identifier.orcid0000-0002-4199-7367
person.identifier.ridN-1699-2013
person.identifier.scopus-author-id24598020700
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication52406f6a-2c36-4e9a-9996-d3cc719d46bf
relation.isAuthorOfPublication.latestForDiscovery52406f6a-2c36-4e9a-9996-d3cc719d46bf
relation.isProjectOfPublication9c625981-b187-4078-8cb2-d84b0d21a477
relation.isProjectOfPublication.latestForDiscovery9c625981-b187-4078-8cb2-d84b0d21a477

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