Bipullbacks of fractions and the snail lemma

Jacqmin, Pierre-Alain; Mantovani, Sandra; Metere, Giuseppe; Vitale, Enrico

Bipullbacks of fractions and the snail lemma

Jacqmin, Pierre-Alain

;

Mantovani, Sandra

;

Metere, Giuseppe

;

Vitale, Enrico

(2019) Journal of Pure and Applied Algebra — Vol. 223, n° 12, p. 5147-5162 (2019)

Files

Bipullbacksoffractionsandthesnaillemmapreprint.pdf

Open Access
Adobe PDF
330.53 KB

Download

Details

Authors

Jacqmin, Pierre-AlainUCLouvain
Author
Mantovani, Sandra
Author
Metere, Giuseppe
Author
Vitale, EnricoUCLouvain
Author

Abstract

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

Affiliations

UCLouvainSST/IRMP - Institut de recherche en mathématique et physique
Universit`a degli studi di MilanoDipartimento di matematica
Universit`a degli studi di PalermoDipartimento di matematica e informatica
University of OttawaDepartment of Mathematics and Statistics

Citations

APA
Chicago
FWB

Jacqmin, P.-A., Mantovani, S., Metere, G., & Vitale, E. (2019). Bipullbacks of fractions and the snail lemma. Journal of Pure and Applied Algebra, 223(12), 5147-5162. https://hdl.handle.net/2078.5/122304 (Original work published 2019)