Geodesic
Loop spaces and homotopy operations
Fundamenta Mathematicae, Tome 154 (1997) no. 1, pp. 75-95.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We describe an obstruction theory for an $H$-space $\bf X$ to be a loop space, in terms of higher homotopy operations taking values in $\pi_*\bf X$. These depend on first algebraically "delooping" the $\varPi$-algebras $\pi_*\bf X$, using the $H$-space structure on $X$, and then trying to realize the delooped $\varPi$-algebra.
DOI : 10.4064/fm-154-1-75-95
Keywords: loop space, topological group, H-space, Π-algebra, delooping, higher homotopy operations, obstruction theory

David Blanc 1

1 
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David Blanc. Loop spaces and homotopy operations. Fundamenta Mathematicae, Tome 154 (1997) no. 1, pp. 75-95. doi : 10.4064/fm-154-1-75-95. http://geodesic.mathdoc.fr/articles/10.4064/fm-154-1-75-95/

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