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Title: Resolutions of cohomology algebras and other struggles with integer coefficients
Authors: Jaleel, Ahsan
Percy, Andrew
Keywords: Primary cohomology operations;Integer coefficients;Free resolution;Derived functors;Operaciones de cohomología primaria;Coeficientes enteros;Resolución libre
Issue Date: 2017
Publisher: Universidad de Extremadura
Abstract: There is a well known homotopy Π-algebra resolution of a space by wedges of spheres. An attempt to construct the Eckmann-Hilton dual gives a nice resolution for Fp coefficients which can then be used in a spectral sequence. For ℤ coefficients the dual construction has several compounding problems illustrating that integral cohomology becomes relatively problematic when we try to include primary operations.
Appears in Collections:Extracta Mathematicae Vol. 32, nº 1 (2017)

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