Beben, Piotr and Wu, Jie
(2011)
The homotopy type of a Poincaré Duality Complex after looping.
*Proceedings of the Edinburgh Mathematical Society*, 1-26.

## Abstract

We answer a weaker version of the classification problem for the homotopy types of (n?2) -connected closed orientable (2n?1) -manifolds. Let n?6 be an even integer, and X be a (n?2) -connected finite orientable Poincar\'e (2n?1) -complex such that H n?1 (X;Q)=0 and H n?1 (X;Z 2 )=0 . Then its loop space homotopy type is uniquely determined by the action of higher Bockstein operations on H n?1 (X;Z p ) for each odd prime p . A stronger result is obtained when localized at odd primes.

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