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A note on Duality and the Atiyah-Hirzebruch spectral sequence

math.AT · 2025-07-24 · unverdicted · novelty 4.0

Spanier-Whitehead duality induces an isomorphism between the cohomological and homological Atiyah-Hirzebruch spectral sequences for finite spectra, extending to Poincaré duality complexes oriented over a ring spectrum.

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  • A note on Duality and the Atiyah-Hirzebruch spectral sequence math.AT · 2025-07-24 · unverdicted · none · ref 16

    Spanier-Whitehead duality induces an isomorphism between the cohomological and homological Atiyah-Hirzebruch spectral sequences for finite spectra, extending to Poincaré duality complexes oriented over a ring spectrum.