dc.creator | Muro Jiménez, Fernando | es |
dc.creator | Raptis, George | es |
dc.date.accessioned | 2017-05-15T06:56:23Z | |
dc.date.available | 2017-05-15T06:56:23Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Muro Jiménez, F. y Raptis, G. (2017). K-theory of derivators revisited. Annals of K-theory, 2 (2), 303-340. | |
dc.identifier.issn | 2379-1683 | es |
dc.identifier.issn | 2379-1691 | es |
dc.identifier.uri | http://hdl.handle.net/11441/59740 | |
dc.description.abstract | We define a K-theory for pointed right derivators and show that it agrees with Waldhausen K-theory in the case where the derivator arises from a good Waldhausen category. This K-theory is not invariant under general equivalences of derivators, but only under a stronger notion of equivalence that is defined by considering a simplicial enrichment of the category of derivators. We show that derivator K-theory, as originally defined, is the best approximation to Waldhausen K-theory by a functor that is invariant under equivalences of derivators. | es |
dc.description.sponsorship | Junta de Andalucía (Consejería de Innovación, Ciencia y Empresa) | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Generalitat de Catalunya | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Mathematical Sciences Publishers | es |
dc.relation.ispartof | Annals of K-theory, 2 (2), 303-340. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | K-theory | es |
dc.subject | Derivator | es |
dc.title | K-theory of derivators revisited | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessrights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | FQM-5713 | es |
dc.relation.projectID | MTM2010-15831 | es |
dc.relation.projectID | SGR-119-2009 | es |
dc.relation.publisherversion | http://msp.org/akt/2017/2-2/akt-v2-n2-p06-p.pdf | es |
dc.identifier.doi | 10.2140/akt.2017.2.303 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometría Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 38 p. | es |
dc.journaltitle | Annals of K-theory | es |
dc.publication.volumen | 2 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 303 | es |
dc.publication.endPage | 340 | es |