arXiv Open Access 2017

On fibrations between internal groupoids

P. -A. Jacqmin S. Mantovani G. Metere E. M. Vitale

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Abstrak

In order to deduce the internal version of the Brown exact sequence from the internal version of the Gabriel-Zisman exact sequence, we characterize fibrations and $\ast$-fibrations in the 2-category of internal groupoids in terms of the comparison functor from certain pullbacks to the corresponding strong homotopy pullbacks. A similar analysis in the category of arrows allows us to give a characterization of protomodular categories using strong homotopy kernels.

Topik & Kata Kunci

math.CT

Penulis (4)

P. -A. Jacqmin

S. Mantovani

G. Metere

E. M. Vitale

Format Sitasi

APA MLA BibTeX

Jacqmin, P.-., Mantovani, S., Metere, G., Vitale, E.M. (2017). On fibrations between internal groupoids. https://arxiv.org/abs/1707.00868

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓