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math.RT2014
Complete cotorsion pairs in exact categories
Zhi-Wei Li
We show a cotorsion pair cogenerated by a class is complete under suitable conditions in an arbitrary exact category using the generalized small object argument given by Chorny. Th…
math.RT2014
A note on the model (co-)slice categories
Zhi-Wei Li
There are various adjunctions between model (co-)slice and slice categories. We characterize when these adjunctions are Quillen equivalences. As an application, a triangle equivale…