Weak factorization systems and topological functors

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Authors

ADÁMEK J. HERRLICH H. ROSICKÝ J. THOLEN W.

Year of publication 2002
Type Article in Periodical
Magazine / Source Applied Categorical Structures
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords weak factorization system; topological functor
Description Weak factorization systems, important in homotopy theory, are related to injective objects in comma-categories. Our main result is that full functors and topological functors form a weak factorization systems in the category of small categories, and that this is not cofibrantly generated. No such weak factorization systems were known until recently. This answers an open problem posed by M. Hovey.
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