Abstract
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.
Citation
M. Grandis. E. M. Vitale. "A higher dimensional homotopy sequence." Homology Homotopy Appl. 4 (1) 59 - 69, 2002.
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