Strongly separable morphisms in general categories
Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 136-149
We clarify the relationship between separable and covering morphisms in general categories by introducing and studying an intermediate class of morphisms that we call strongly separable.
Classification :
18A32, 18A40, 13B05, 14H30, 54C10, 57M10
Keywords: separable morphism, strongly separable morphism, separated morphism, compact morphism, covering morphism, factorization system, effective descent morphism, Galois theory, lextensive category
Keywords: separable morphism, strongly separable morphism, separated morphism, compact morphism, covering morphism, factorization system, effective descent morphism, Galois theory, lextensive category
@article{TAC_2010_23_a6,
author = {G. Janelidze and W. Tholen},
title = {Strongly separable morphisms in general categories},
journal = {Theory and applications of categories},
pages = {136--149},
year = {2010},
volume = {23},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2010_23_a6/}
}
G. Janelidze; W. Tholen. Strongly separable morphisms in general categories. Theory and applications of categories, The Bourn Festschrift, Tome 23 (2010), pp. 136-149. http://geodesic.mathdoc.fr/item/TAC_2010_23_a6/