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A higher dimensional homotopy sequence

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Grandis, M. [UCL] Vitale, Enrico [UCL]

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.

Document type Article de périodique (Journal article)
Access type Accès libre
Publication date 2002
Language Anglais
Journal information "Homology, Homotopy and Applications" - Vol. 4, p. 59-69
Peer reviewed yes
Publisher International Press ((United States) Somerville)
issn 1532-0073
Publication status Publié
Affiliations UCL - SC/MATH - Département de mathématique
Università di Genova - Dipartimento di Matematica
Links
Bibliographic reference Grandis, M. ; Vitale, Enrico. A higher dimensional homotopy sequence. In: Homology, Homotopy and Applications, Vol. 4, p. 59-69
Permanent URL http://hdl.handle.net/2078.1/73969