Loop spaces and homotopy operations

Blanc, David

Fundamenta Mathematicae, Tome 154 (1997), p. 75-95 / Harvested from The Polish Digital Mathematics Library

Résumé

We describe an obstruction theory for an H-space X to be a loop space, in terms of higher homotopy operations taking values in $π_*X$. These depend on first algebraically “delooping” the Π-algebras $π_*X$, using the H-space structure on X, and then trying to realize the delooped Π-algebra.

Détail

Publié le : 1997-01-01

Zbl 0940.55014

EUDML-ID : urn:eudml:doc:212228

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