Cellularity of Chromatic Synthetic Spectra

Shaul Barkan; Sven van Nigtevecht

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arxiv 2505.01086 v1 pith:EW72QNBX submitted 2025-05-02 math.AT

Cellularity of Chromatic Synthetic Spectra

Shaul Barkan , Sven van Nigtevecht This is my paper

classification math.AT

keywords inftycategoryfilteredspectrasyntheticbigradedcategoriescellularity

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We show that the $\infty$-category of synthetic spectra based on Morava E-theory is generated by the bigraded spheres and identify it with the $\infty$-category of modules over a filtered ring spectrum. The latter we show using a general method for constructing filtered deformations from t-structures on symmetric monoidal stable $\infty$-categories.

Cellularity of Chromatic Synthetic Spectra

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