Holmstrom Bar construction

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Bar resolution mentioned in MacLane: Homology. In Homol alg folder

Dold and Puppe 1962: The generalized bar construction.

Embuches 4th post in a series on monads

arXiv:1102.3622 Koszul duality of the category of trees and bar construction for operads from arXiv Front: math.CT by Muriel Livernet In this paper we study a category of trees TI and prove that it is a Koszul category. Consequences are the interpretation of the reduced bar construction of operads of Ginzburg and Kapranov as the Koszul complex of this category, and the interpretation of operads up to homotopy as a functor from the minimal resolution of TI to the category of graded vector spaces. We compare also three different bar constructions of operads. Two of them have already been compared by Shnider-Von Osdol and Fresse.

nLab page on Bar construction

Created on June 9, 2014 at 21:16:13 by Andreas Holmström