Fibration models and localisation of categories (Q1868701)

In this paper, the author deals with the analysis of a fibration model which extracts half of the structure of the Thomason model, much like the Baues model does for the Quillen model. It is shown that this fibration model suffices to prove the existence of the localization and to develop the basic tools of homological algebra. Since the model is weaker than those of Baues, Quillen and Thomason, the corresponding results for these models can be derived as special cases.