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Descent for discrete (co)fibrations

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Detalhes bibliográficos
Resumo:We characterize the (e ective) E-descent morphisms in the category Cat of small categories, when E is the class of discrete fibrations or the one of discrete co fibrations, and prove that every e ective global-descent morphism is an e ective E-descent morphism while its converse fails.
Autores principais:Sobral, Manuela
Assunto:Descent data (e ective) descent morphisms (co) fibrations Discrete (co)fi brations Lax epimorphisms
Ano:2003
País:Portugal
Tipo de documento:preprint
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Coimbra
Idioma:inglês
Origem:Estudo Geral - Universidade de Coimbra
Descrição
Resumo:We characterize the (e ective) E-descent morphisms in the category Cat of small categories, when E is the class of discrete fibrations or the one of discrete co fibrations, and prove that every e ective global-descent morphism is an e ective E-descent morphism while its converse fails.