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55-XX Algebraic topology
55Pxx Homotopy theory
55P35 Loop spaces

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Lie groups and $p$ -compact groups.

Dwyer, W.G. (1998)

Documenta Mathematica

Loop space homology of spaces of LS category one and two.

Yves Felix, Stephen Halperin (1990)

Mathematische Annalen

Loop spaces and homotopy operations

David Blanc (1997)

Fundamenta Mathematicae

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.

Currently displaying 1 – 3 of 3