2019/11/29 by Panyue Zhou, Zhou, Panyue
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1912.00927
Assume that (C, 𝔼, \mathfraks) is an extriangulated category satisfying Condition (WIC). Let (\cal Q, \widetilde\cal R) and (\widetilde\cal Q, \cal R) be two hereditary cotorsion pairs satisfying conditions \widetilde\cal R ⊆ \cal R, \widetilde\cal Q⊆ \cal Q and \widetilde\cal Q∩ \cal R = \cal Q ∩ \widetilde\cal R. Then there exists a unique thick class \cal W for which (\cal Q,\cal W,\cal R) is a Hovey triple. As an application, this result generalizes the work by Gillespie in an exact case. Moreover, it highlights new phenomena when it applied to triangulated categories.