Facets of descent .2.

被引：40
|
作者：
Janelidze, G
Tholen, W
机构：
[1] YORK UNIV, DEPT MATH & STAT, N YORK, ON M3J 1P3, CANADA
[2] GEORGIAN ACAD SCI, MATH INST, GE-39003 TBILISI, GEORGIA
来源：
APPLIED CATEGORICAL STRUCTURES | 1997年 / 5卷 / 03期
基金：
澳大利亚研究理事会; 加拿大自然科学与工程研究理事会;
关键词：
internal category; discrete cofibration; indexed category; (effective) descent morphism; (locally) split epimorphism; equivalence relation;
D O I：
10.1023/A:1008697013769
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：229 / 248
页数：20
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