Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/113614
DC Field | Value | Language |
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dc.contributor.author | Faul, Peter F. | - |
dc.contributor.author | Manuell, Graham | - |
dc.contributor.author | Siqueira, José | - |
dc.date.accessioned | 2024-02-23T10:07:41Z | - |
dc.date.available | 2024-02-23T10:07:41Z | - |
dc.date.issued | 2020-12-09 | - |
dc.identifier.issn | 00224049 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/113614 | - |
dc.description | 41 pages. Fixed minor errors and improved clarity. Includes some proofs we had to remove from the published version | pt |
dc.description.abstract | Artin glueings of frames correspond to adjoint split extensions in the category of frames and finite-meet-preserving maps. We extend these ideas to the setting of toposes and show that Artin glueings of toposes correspond to a 2-categorical notion of adjoint split extensions in the 2-category of toposes, finite-limit-preserving functors and natural transformations. A notion of morphism between these split extensions is introduced, which allows the category Ext(H,N) to be constructed. We show that Ext(H,N) is contravariantly equivalent to Hom(H,N), and moreover, that this can be extended to a 2-natural contravariant equivalence between the Hom 2-functor and a naturally defined Ext 2-functor. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | Coordenação de Aperfeiçoamento de Pessoal de Nível Superior -Brasil (CAPES), which supported the CAPES scholar José Siqueira (process n◦88881.128278/2016-01) | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | Gluing | pt |
dc.subject | Artin-Wraith glueing | pt |
dc.subject | Topoi | pt |
dc.subject | Left-exact functor | pt |
dc.subject | Weakly Schreier | pt |
dc.subject | Baer sum | pt |
dc.title | Artin glueings of toposes as adjoint split extensions | pt |
dc.type | article | - |
degois.publication.firstPage | 107273 | pt |
degois.publication.issue | 5 | pt |
degois.publication.title | Journal of Pure and Applied Algebra | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1016/j.jpaa.2022.107273 | pt |
degois.publication.volume | 227 | pt |
dc.date.embargo | 2020-12-09 | * |
uc.date.periodoEmbargo | 0 | pt |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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Artin glueings of toposes as adjoint split extensions.pdf | 614.66 kB | Adobe PDF | View/Open |
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