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arXiv · 2110.03669

Adams spectral sequences and Franke's algebraicity conjecture

Irakli Patchkoria·Piotr Pstrągowski
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Abstract

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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BibTeXRIS

Irakli Patchkoria, Piotr Pstrągowski. 2021-10-07. Adams spectral sequences and Franke's algebraicity conjecture. https://arxiv.org/abs/2110.03669

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