Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11460
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Adámek, Jirí | - |
dc.contributor.author | Bashir, Robert El | - |
dc.contributor.author | Sobral, Manuela | - |
dc.contributor.author | Velebil, Jirí | - |
dc.date.accessioned | 2009-09-16T13:45:35Z | - |
dc.date.available | 2009-09-16T13:45:35Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Pré-Publicações DMUC. 01-16 (2001) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11460 | - |
dc.description.abstract | We show that lax epimorphisms in the category Cat are precisely the functors P : Ε → B for which the functor P* : [B, Set] → [E, Set] of composition with P is fully faithful. We present two other characterizations. Firstly, lax epimorphisms are precisely the ``absolutely dense'' functors, i.e., functors P such that every object B of B is an absolute colimit of all arrows P(E) → B for E in E. Secondly, lax epimorphisms are precisely the functors P such that for every morphism f of B the category of all factorizations through objects of P[E] is connected. A relationship between pseudoepimorphisms and lax epimorphisms is discussed. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Lax epimorphism | en_US |
dc.title | On functors which are lax epimorphisms | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.openairetype | preprint | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0001-9289-6147 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
Files in This Item:
File | Description | Size | Format | |
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On functors which are lax epimorphisms.pdf | 244.2 kB | Adobe PDF | View/Open |
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