Abstract

Beben and Wu showed that if M is a (2n-2)-connected (4n-1)-dimensional Poincaré Duality complex such that nge 3 and H^{2n}(M;{{mathbb {Z}}}) consists only of odd torsion, then Omega M can be decomposed up to homotopy as a product of simpler, well-studied spaces. We use a result from Beben and Theriault (Doc Math 27:183-211, 2022) to greatly simplify and enhance Beben and Wu’s work and to extend it in various directions.

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