ISSN:
1572-9095
Keywords:
category
;
factorization system
;
localization
;
stabilization
;
descent theory
;
Galois theory
;
monotone-light factorization
;
hereditary torsion theory
;
separable and purely-inseparable field extensions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract If (ε, M)is a factorization system on a category C, we define new classes of maps as follows: a map f:A→B is in ε′ if each of its pullbacks lies in ε(that is, if it is stably in ε), and is in M * if some pullback of it along an effective descent map lies in M(that is, if it is locally in M). We find necessary and sufficient conditions for (ε′, M *) to be another factorization system, and show that a number of interesting factorization systems arise in this way. We further make the connexion with Galois theory, where M *is the class of coverings; and include self-contained modern accounts of factorization systems, descent theory, and Galois theory.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008620404444
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