ABSTRACT
The relation between injective dimensions and model structures is the easiest interplay to begin with, in the context of homological algebra vs. homotopical algebra. Moreover, it is the most general, in the sense that we will obtain model structures on chain complexes over Grothendieck categories. However, the construction of model structures from projective and flat dimensions in Chapters 9 and 10 needs to be presented in a more particular scenario, namely, for complexes over rings.
