Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics. The book shows how to obtain new model structures in homological algebra by constructing a pair of compatible complete cotorsion pairs related to a specific homological dimension and then applying the Hovey Correspondence to generate an abelian model structure.
The first part of the book introduces the definitions and notations of the universal...
Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship...