We prove a fundamental lemma of homological algebra and show how it sets a framework for many different lifting (or comparison) theorems of homological algebra and algebraic topology. Among these are different versions of the acyclic models method.
Keywords: homological algebra, acyclic models, lifting theorems, comparison theorems
2010 MSC: 18C15,18G35,55U25
Theory and Applications of Categories, Vol. 32, 2017, No. 25, pp 823-834.