Geodesic
H-Semidirect Products
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 402-411

Voir la notice de l'article provenant de la source Cambridge University Press

The concept of H-semidirect product structure on a grouplike space is introduced. It is shown that the loop space ΩX of any based CW-complex X is the H-semidirect product of the identity path-component of ΩX with π1,X. The set of free homotopy classes of maps into a Hsemidirect product inherits the structure of a semidirect product. This leads to new results concerning the nilpotency of homotopy classes of maps into a group-like space.
DOI : 10.4153/CMB-1987-060-2
Mots-clés : 55D35, 55D45, 55E05, 55E35 
Peschke, Georg. H-Semidirect Products. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 402-411. doi: 10.4153/CMB-1987-060-2
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