In mathematics, homotopical algebra is a collection of concepts comprising the nonabelian aspects of homological algebra as well as 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.
Homotopy theory takes homotopy in a rather general sense including not only classical homotopy, but also algebraic homotopy, homotopical algebra in the narrow sense (model categories and variants) and (∞,1)-categories.
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List of major Lie theory and related journals
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|This page was last updated on 17thSepÂ 2015|