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Synthetic spectra are (usually) cellular

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arxiv 2402.03257 v2 pith:3BBIKHVB submitted 2024-02-05 math.AT

Tyler Lawson This is my paper · ORCID
classification math.AT
keywords categoryringspectraspectrumsyntheticbigradedcellularconnective
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abstract

If $E$ is a connective ring spectrum, then Pstragowski's category $Syn_E$ of $E$-synthetic spectra is generated by the bigraded spheres $S^{i,j}$. In particular, it is equivalent to the category of modules over a filtered ring spectrum.

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Cited by 1 Pith paper

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  1. Cellularity of Chromatic Synthetic Spectra

    math.AT 2025-05 conditional novelty 7.0 of 10

    Synthetic spectra based on Morava E-theory are generated by bigraded spheres and are equivalent to modules over a filtered ring spectrum.

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