HOMOLOGY OF N-FOLD GROUPOIDS Dedicated to Dominique Bourn on the occasion of his sixtieth birthday

نویسندگان

  • TOMAS EVERAERT
  • MARINO GRAN
چکیده

Any semi-abelian category A appears, via the discrete functor, as a full replete reflective subcategory of the semi-abelian category of internal groupoids in A. This allows one to study the homology of n-fold internal groupoids with coefficients in a semi-abelian category A, and to compute explicit higher Hopf formulae. The crucial concept making such computations possible is the notion of protoadditive functor, which can be seen as a natural generalisation of the notion of additive functor.

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تاریخ انتشار 2010