Strongly separable morphisms in general categories

G. Janelidze and W. Tholen

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.

Keywords: separable morphism, strongly separable morphism, separated morphism, compact morphism, covering morphism, factorization system, effective descent morphism, Galois theory, lextensive category

2000 MSC: 18A32, 18A40, 13B05, 14H30, 54C10, 57M10

Theory and Applications of Categories, Vol. 23, 2010, No. 7, pp 136-149.

TAC Home