A note on Duality and the Atiyah-Hirzebruch spectral sequence
arXiv:2507.18250
Abstract
We show that, for a finite spectrum , 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 induces an isomorphism between the two spectral sequences.
15 pages; accepted version, to appear in Glasgow Mathematical Journal