Reducible Poincaré Complexes (Ex)
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Exercise 0.1. Let be a finite Poinaré complex of formal dimension with Spivak Normal Fibration . A Theorem of [Wall1967a, Theorem 2.4] states that may be written
where has dimension less than . Show that for some , the top cell of splits off, i.e. , if and only if , the Spivak normal fibration of , is trivial.