dc.creator | Baues, Hans Joachim | es |
dc.creator | Muro Jiménez, Fernando | es |
dc.date.accessioned | 2016-06-06T10:37:13Z | |
dc.date.available | 2016-06-06T10:37:13Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Baues, H.J. y Muro Jiménez, F. (2011). The algebra of secondary homotopy operations in ring spectra. Proceedings of the London Mathematical Society, 102 (4), 637-696. | |
dc.identifier.issn | 0024-6115 | es |
dc.identifier.issn | 1460-244X | es |
dc.identifier.uri | http://hdl.handle.net/11441/41904 | |
dc.description.abstract | The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R which has the
structure of a secondary analogue of a ring. The homology of π∗,∗R is π∗R
and triple Massey products in π∗,∗R coincide with Toda brackets in π∗R. We
also describe the secondary model of a commutative ring spectrum Q from
which we derive the cup-one square operation in π∗Q. As an application we
obtain for each ring spectrum R new derivations of the ring π∗R. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | London Mathematical Society | es |
dc.relation.ispartof | Proceedings of the London Mathematical Society, 102 (4), 637-696. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Ring spectrum | es |
dc.subject | homotopy groups | es |
dc.subject | secondary homotopy groups | es |
dc.subject | Toda bracket | es |
dc.subject | Massey product | es |
dc.subject | cup-one product | es |
dc.subject | Shukla cohomology | es |
dc.subject | Mac Lane cohomology | es |
dc.subject | permutative category | es |
dc.subject | quadratic pair module | es |
dc.title | The algebra of secondary homotopy operations in ring spectra | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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 | MTM2004-01865 | es |
dc.relation.projectID | EX2004-0616 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1112/plms/pdq034 | |
dc.identifier.doi | 10.1112/plms/pdq034 | |
idus.format.extent | 55 p. | es |
dc.journaltitle | Proceedings of the London Mathematical Society | es |
dc.publication.volumen | 102 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 637 | es |
dc.publication.endPage | 696 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41904 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |