On fibrations between internal groupoids and their normalizations

Jacqmin, Pierre-Alain;Mantovani, Sandra;Metere, Giuseppe;Vitale, Enrico;et.al.
(2018) Applied Categorical Structures — Vol. 26, n° 5, p. 1015-1039 (2018)

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Authors
  • Jacqmin, Pierre-Alainorcid-logoUCLouvain
    Author
  • Mantovani, Sandra
    Author
  • Metere, Giuseppe
    Author
  • Vitale, Enricoorcid-logoUCLouvain
    Author
  • et. al.
Abstract
In order to deduce the internal version of the Brown exact sequence from the internal version of the Gabriel-Zisman exact sequence, we characterize fibra- tions and ∗-fibrations in the 2-category of internal groupoids in terms of the comparison functor from certain pullbacks to the corresponding strong homotopy pullbacks. A simi- lar analysis in the category of arrows allows us to give a characterization of protomodular categories using strong homotopy kernels.
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Jacqmin, P.-A., Mantovani, S., Metere, G., Vitale, E., & et al. (2018). On fibrations between internal groupoids and their normalizations. Applied Categorical Structures, 26(5), 1015-1039. https://hdl.handle.net/2078.5/124243 (Original work published 2018)