Weak factorization systems and topological functors

• Autoři: ADÁMEK J.; HERRLICH H.; ROSICKÝ J.; THOLEN W.
• Rok publikování: 2002
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Applied Categorical Structures
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• Obor: Obecná matematika
• Klíčová slova: weak factorization system; topological functor
• Popis: 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.

Související projekty

• Kategoriální metody teorie struktur a informatiky
• Matematické struktury algebry a geometrie