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Track Extensions of Categories and Cohomology
Authors:Hans-Joachim Baues and Elias Gabriel Minian
Institution:(1) Max-Planck-Institut für Mathematik Vivatsgasse 7, 53111 Bonn, Germany
Abstract:We introduce the notion of n-fold track extensions of a category C by a natural system D and prove that such extensions represent classes in the cohomology of C with coefficients in D introduced by Baues–Wirsching. This generalizes a result of Huebschmann on the cohomology of groups.
Keywords:cohomology of category  track extension  crossed module
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