A unifying approach to the acyclic models method and other lifting lemmas

Leonard Guetta

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.

Published 2017-07-31.

http://www.tac.mta.ca/tac/volumes/32/25/32-25.pdf

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