Corpus ID: 115169700

Abelian categories in dimension 2

@article{Dupont2008AbelianCI,
  title={Abelian categories in dimension 2},
  author={M. Dupont},
  journal={arXiv: Category Theory},
  year={2008}
}
  • M. Dupont
  • Published 2008
  • Mathematics
  • arXiv: Category Theory
The goal of this thesis is to define a 2-dimensional version of abelian categories, where symmetric 2-groups play the role that abelian groups played in 1-dimensional algebra. Abelian and 2-abelian groupoid enriched categories are defined and it is proved that homology can be developed in them, including the existence of a long exact sequence of homology corresponding to an extension of chain complexes. This generalises known results for symmetric 2-groups. The examples include, in addition to… Expand
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