# Homotopy fibrations with a section after looping

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Stephen Theriault, University of Southampton

Passcode: 998749

We consider homotopy fibrations where the map from the total space to the base has a section after looping. Methods are developed to determine the homotopy type of the fibre and the homotopy classes of the map from the fibre to the total space. Applications are given to certain Poincare Duality complexes and polyhedral products.