New model categories from old. (English) Zbl 0854.18009
This paper begins with an exposition of D. G. Quillen’s theory of model categories [“Homotopical algebra”, Lect. Notes Math. 43 (1967; Zbl 0168.20903)] in a form suited for the present algebraic purpose. The main work is to explain how adjoint functors can be used to transfer a model category structure. Such creations of new model category structures are applied for categories of cosimplicial universal coalgebras.
Reviewer: G.Hoff (Villetaneuse)
MSC:
| 18G30 | Simplicial sets; simplicial objects in a category (MSC2010) |
| 55U35 | Abstract and axiomatic homotopy theory in algebraic topology |
| 18A40 | Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) |
| 18G10 | Resolutions; derived functors (category-theoretic aspects) |
Citations:
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