Facets of Descent, II |
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| Authors: | G. Janelidze W. Tholen |
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| Affiliation: | (1) Mathematical Institute of the Georgian Academy of Sciences, M. Alexidze Str. 1, 39003 Tbilisi, Georgia;(2) Department of Mathematics and Statistics, York University, North York, Ontario, Canada, M3J 1P3 |
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| Abstract: | Methods of internal-category theory are applied to show that the split epimorphisms in a category C are exactly the morphisms which are effective for descent with respect to any fibration over C (or to any C-indexed category). In the same context, composition-cancellation rules for effective descent morphisms are established and being applied to (suitably defined) locally-split epimorphisms. |
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| Keywords: | internal category discrete cofibration indexed category (effective) descent morphism (locally) split epimorphism equivalence relation |
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