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Cohomology of small categories with coefficients in an Abelian category with exact products

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Conclusion

The spectral sequence of Theorem 2.1 is widely known for the case where the group P acts freely on a simplicial set. Corollary 3.2 shows that both the result of [11] and the known estimates of the cohomological dimension of a directed colimit of groups are incorporated in this spectral sequence.

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Authors
  1. A. A. Khusainov
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Additional information

Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 30, No. 4, pp. 210–215, July–August, 1989.

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Khusainov, A.A. Cohomology of small categories with coefficients in an Abelian category with exact products. Sib Math J 30, 668–672 (1989). https://doi.org/10.1007/BF00971767

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