Publicação
Pointed homotopy of maps between 2-crossed modules of commutative algebras
| dc.contributor.author | Akça, I. Ilker | |
| dc.contributor.author | Emir, Kadir | |
| dc.contributor.author | Martins, João Faria | |
| dc.contributor.institution | DM - Departamento de Matemática | |
| dc.contributor.institution | CMA - Centro de Matemática e Aplicações | |
| dc.contributor.pbl | International Press of Boston, Inc. | |
| dc.date.accessioned | 2018-07-19T22:11:57Z | |
| dc.date.available | 2018-07-19T22:11:57Z | |
| dc.date.issued | 2016 | |
| dc.description | JFM was partially supported by CMA/FCT/UNL, under the project UID/MAT/00297/2013 and by FCT (Portugal) through the "Geometry and Mathematical Physics Project", FCT EXCL/MATGEO/0222/2012. KE expresses his gratitude to CMA for the hospitality in 2014/15. We would like to thank Ronald Brown for useful comments and several corrections. | |
| dc.description.abstract | We address the homotopy theory of 2-crossed modules of commutative algebras, which are equivalent to simplicial commutative algebras with Moore complex of length two. In particular, we construct for maps of 2-crossed modules a homotopy relation, and prove that it yields an equivalence relation in very unrestricted cases (freeness up to order one of the domain 2-crossed module). This latter condition strictly includes the case when the domain is cofibrant. Furthermore, we prove that this notion of homotopy yields a groupoid with objects being the 2-crossed module maps between two fixed 2-crossed modules (with free up to order one domain), the morphisms being the homotopies between 2-crossed module maps. | en |
| dc.description.version | publishersversion | |
| dc.description.version | published | |
| dc.format.extent | 30 | |
| dc.format.extent | 353760 | |
| dc.identifier.doi | 10.4310/HHA.2016.V18.N1.A6 | |
| dc.identifier.issn | 1532-0073 | |
| dc.identifier.other | PURE: 5465365 | |
| dc.identifier.other | PURE UUID: 88c0bbf2-5644-4091-80ab-2d7376122ae6 | |
| dc.identifier.other | Scopus: 85046671254 | |
| dc.identifier.other | WOS: 000383324400006 | |
| dc.identifier.uri | http://www.scopus.com/inward/record.url?scp=85046671254&partnerID=8YFLogxK | |
| dc.identifier.url | https://www.scopus.com/pages/publications/85046671254 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.subject | 2-crossed module of commutative algebras | |
| dc.subject | Crossed module of commutative algebras | |
| dc.subject | Quadratic derivation | |
| dc.subject | Simplicial commutative algebra | |
| dc.subject | Mathematics (miscellaneous) | |
| dc.title | Pointed homotopy of maps between 2-crossed modules of commutative algebras | en |
| dc.type | journal article | |
| degois.publication.firstPage | 99 | |
| degois.publication.issue | 1 | |
| degois.publication.lastPage | 128 | |
| degois.publication.title | Homology, Homotopy and Applications | |
| degois.publication.volume | 18 | |
| dspace.entity.type | Publication | |
| rcaap.rights | openAccess |
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