More on injectivity in locally presentable categories.
Rosicky, J., Adamek, J., Borceux, F. (2002)
Theory and Applications of Categories [electronic only]
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Displaying similar documents to “-purity and orthogonality.”
More on injectivity in locally presentable categories.
More on orthogonality in locally presentable categories
M. Hebert, J. Adamek, J. Rosický (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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-Cat is locally presentable or locally bounded if is so.
Kelly, G.M., Lack, Stephen (2001)
Theory and Applications of Categories [electronic only]
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Structures defined by finite limits in the enriched context, I
G. M. Kelly (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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On pure quotients and pure subobjects
Jiří Adámek, Jiří Rosický (2004)
Czechoslovak Mathematical Journal
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In the theory of accessible categories, pure subobjects, i.e. filtered colimits of split monomorphisms, play an important role. Here we investigate pure quotients, i.e., filtered colimits of split epimorphisms. For example, in abelian, finitely accessible categories, these are precisely the cokernels of pure subobjects, and pure subobjects are precisely the kernels of pure quotients.
A characterization of locally -presentable categories
C. Centazzo, J. Rosický, E. M. Vitale (2004)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Algebraically closed and existentially closed substructures in categorical context.
Hebert, Michel (2004)
Theory and Applications of Categories [electronic only]
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Accessible embeddings and the solution-set condition
H. Hu, M. Makkai (1994)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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