Geodesic
The snail lemma
Theory and applications of categories, Tome 31 (2016), pp. 484-501 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

Voir la notice de l'article

The classical snake lemma produces a six terms exact sequence starting from a commutative square with one of the edge being a regular epimorphism. We establish a new diagram lemma, that we call snail lemma, removing such a condition. We also show that the snail lemma subsumes the snake lemma and we give an interpretation of the snail lemma in terms of strong homotopy kernels. Our results hold in any pointed regular protomodular category.

Publié le :
Classification : 18G50, 18D05, 18G55
Keywords: snail lemma, snake lemma, protomodular category, strong homotopy kernel 
@article{TAC_2016_31_a18,
     author = {Enrico M. Vitale},
     title = {The snail lemma},
     journal = {Theory and applications of categories},
     pages = {484--501},
     year = {2016},
     volume = {31},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a18/}
}
TY  - JOUR
AU  - Enrico M. Vitale
TI  - The snail lemma
JO  - Theory and applications of categories
PY  - 2016
SP  - 484
EP  - 501
VL  - 31
UR  - http://geodesic.mathdoc.fr/item/TAC_2016_31_a18/
LA  - en
ID  - TAC_2016_31_a18
ER  - 
%0 Journal Article
%A Enrico M. Vitale
%T The snail lemma
%J Theory and applications of categories
%D 2016
%P 484-501
%V 31
%U http://geodesic.mathdoc.fr/item/TAC_2016_31_a18/
%G en
%F TAC_2016_31_a18
Enrico M. Vitale. The snail lemma. Theory and applications of categories, Tome 31 (2016), pp. 484-501. http://geodesic.mathdoc.fr/item/TAC_2016_31_a18/