Track Extensions of Categories and Cohomology |
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Authors: | Hans-Joachim Baues and Elias Gabriel Minian |
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Institution: | (1) Max-Planck-Institut für Mathematik Vivatsgasse 7, 53111 Bonn, Germany |
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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. |
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Keywords: | cohomology of category track extension crossed module |
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