Model structures on algebraically fibrant and cofibrant objects revisited

John Bourke – 23 August 2017

The problem of transferring a cofibrantly generated model structure to its category of algebraically fibrant objects was considered by Nikolaus, whilst the problem of transferring a combinatorial model structure to its category of algebraically cofibrantly objects was considered by Ching and Riehl. I will describe different proofs of their results that have more in common with one other. Our approach allows us to extend the results of Nikolaus.

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