: Mathématiques: homotopical algebra

topology > algebraic topology > homotopical algebra

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homotopical algebra

In mathematics, homotopical algebra is a collection of concepts comprising the nonabelian aspects of homological algebra, and possibly the abelian aspects as special cases. The homotopical nomenclature stems from the fact that a common approach to such generalizations is via abstract homotopy theory, as in nonabelian algebraic topology, and in particular the theory of closed model categories.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Homotopical_algebra)

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