Abstract
We study an exactness condition that allows us to treat many of the familiar constructions in abelian categories and toposes in parallel. Examples of such constructions include Grothendieck's theorem on the existence of injective cogenerators, the exactness of right exact functors and torsion theories/topologies.
Keywords
- Full Subcategory
- Exactness Condition
- Abelian Category
- Finite Product
- Finite Limit
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References
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© 1988 Springer-Verlag
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Barr, M. (1988). On categories with effective unions. In: Borceux, F. (eds) Categorical Algebra and its Applications. Lecture Notes in Mathematics, vol 1348. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081346
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DOI: https://doi.org/10.1007/BFb0081346
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50362-0
Online ISBN: 978-3-540-45985-9
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