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math.AT2017
Combinatorial homotopy categories
Carles Casacuberta, Jiri Rosicky
A model category is called combinatorial if it is cofibrantly generated and its underlying category is locally presentable. As shown in recent years, homotopy categories of combina…
math.AT2012★ 4 cited
A generalization of Ohkawa's theorem
Carles Casacuberta, Javier J. Gutiérrez, Jirí Rosický
A theorem due to Ohkawa states that the collection of Bousfield equivalence classes of spectra is a set. We extend this result to arbitrary combinatorial model categories.
math.AT2007★ 16 cited
Factorization, Fibration and Torsion
Jiri Rosicky, Walter Tholen
A simple definition of torsion theory is presented, as a factorization system with both classes satisfying the 3--for--2 property. Comparisons with the traditional notion are given…