Geodesic
A higher dimensional homotopy sequence
Homology, homotopy, and applications, Tome 4 (2002) no. 1, pp. 59-69.

Voir la notice de l'article provenant de la source International Press of Boston

We associate to a continuous map between pointed spaces a long 2-exact sequence of homotopy pointed groupoids. The usual homotopy sequence of a map follows from this 2-exact sequence taking, for each groupoid, the set of connected components. We also study a condition of strong 2-exactness for a sequence of cat-groups and pointed groupoids.
DOI : 10.4310/HHA.2002.v4.n1.a5
Classification : 18G55, 20L05, 55Q05
Keywords: homotopical algebra, fundamental groupoids, homotopy sequences 
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M. Grandis; E. M. Vitale. A higher dimensional homotopy sequence. Homology, homotopy, and applications, Tome 4 (2002) no. 1, pp. 59-69. doi : 10.4310/HHA.2002.v4.n1.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n1.a5/

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