English

Bipullbacks of fractions and the snail lemma

Category Theory 2017-07-05 v1

Abstract

We establish conditions giving the existence of bipullbacks in bicategories of fractions. We apply our results to construct a π0\pi_0-π1\pi_1 exact sequence associated with a fractor between groupoids internal to a pointed exact category.

Keywords

Cite

@article{arxiv.1707.00873,
  title  = {Bipullbacks of fractions and the snail lemma},
  author = {P. -A. Jacqmin and S. Mantovani and G. Metere and E. M. Vitale},
  journal= {arXiv preprint arXiv:1707.00873},
  year   = {2017}
}