A note on Duality and the Atiyah-Hirzebruch spectral sequence
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 Poincaré duality for a Poincaré duality complex that is oriented over a ring spectrum $R$ induces an isomorphism between the two spectral sequences.
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