On Fibrations Between Internal Groupoids and Their Normalizations

Giuseppe Metere, Jacqmin, Enrico M. Vitale, Sandra Mantovani

Risultato della ricerca: Articlepeer review

3 Citazioni (Scopus)

Abstract

We characterize fibrations and ∗ -fibrations in the 2-category of internal groupoids in terms of the comparison functor from certain pullbacks to the corresponding strong homotopy pullbacks. As an application, we deduce the internal version of the Brown exact sequence for ∗ -fibrations from the internal version of the Gabriel–Zisman exact sequence. We also analyse fibrations and ∗ -fibrations in the category of arrows and study when the normalization functor preserves and reflects them. This analysis allows us to give a characterization of protomodular categories using strong homotopy kernels and a generalization of the Snake Lemma
Lingua originaleEnglish
pagine (da-a)1015-1039
Numero di pagine25
RivistaApplied Categorical Structures
Volume26
Stato di pubblicazionePublished - 2018

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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