A note on Duality and the Atiyah-Hirzebruch spectral sequence
Abstract
We show that, for a finite spectrum X, Spanier-Whitehead duality induces an isomorphism between the cohomological and homological Atiyah-Hirzebruch spectral sequences. As an application, it follows that Poincar\'e duality for a Poincar\'e duality complex that is oriented over a ring spectrum R induces an isomorphism between the two spectral sequences.
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