Derivator

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In mathematics, derivators are a proposed new framework for homological algebra and various generalisations. It is intended to address the perceived deficiencies of derived categories and provide at the same time a language for homotopical algebra.

Derivators were first introduced by Alexander Grothendieck in his long unppblished 1983 manuscript Pursuing Stacks. They were then further developed by him in his the huge unpublished 1991 manuscript Les Dérivateurs of almost 2000 pages.

The manuscript has been edited for on-line publication by Georges Maltsiniotis. The parts that have appeared can be found at his web page.