THE HELP-LEMMA AND ITS CONVERSE IN QUILLEN MODEL CATEGORIES

Autor(en): Vogt, R. M.
Stichwörter: Homotopy-extension-lifting-property; Mathematics; model categories; weak equivalences
Erscheinungsdatum: 2011
Herausgeber: SPRINGER
Journal: JOURNAL OF HOMOTOPY AND RELATED STRUCTURES
Volumen: 6
Ausgabe: 1
Startseite: 115
Seitenende: 118
Zusammenfassung: 
We show that a map between fibrant objects in a closed model category is a weak equivalence if and only if it has the right homotopy extension lifting property with respect to all cofibrations. The dual statement holds for maps between cofibrant objects.
ISSN: 21938407

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