Demonstrates algebraicity in homotopy categories, suggesting connections in homology theory.
To any well-behaved homology theory we associate a derived ∞ ∞ -category which encodes its Adams spectral sequence. As applications, we prove a conjecture of Franke on algebraicity of certain homotopy categories and establish homotopy-coherent monoidality of the Adams filtration.
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Patchkoria et al. (2026) studied this question.
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