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A torus theorem for homotopy nilpotent loop spaces

A torus theorem for homotopy nilpotent loop spaces

Nilpotency for discrete groups can be defined in terms of central extensions.In this paper, the analogous definition for spaces is stated in terms of principal fibrations having infinite loop spaces as fibers, yielding a new invariant between the classical LS cocategory and the more recent notion of homotopy nilpotency introduced …