Adams spectral sequences and Franke's algebraicity conjecture

Irakli Patchkoria; Piotr Pstr\k{a}gowski

Adams spectral sequences and Franke's algebraicity conjecture

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arxiv 2110.03669 v2 pith:MADGMAA3 submitted 2021-10-07 math.AT math.CTmath.KT

Adams spectral sequences and Franke's algebraicity conjecture

Irakli Patchkoria , Piotr Pstr\k{a}gowski This is my paper

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keywords adamsalgebraicityconjecturefrankespectralapplicationsassociatecategories

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To any well-behaved homology theory we associate a derived $\infty$-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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