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Coalgebras in symmetric monoidal categories of spectra

2017/08/08 by Péroux, Maximilien, Shipley, Brooke · 2 citations
#16T15 #18D10 #55P42 #55P43 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.02592

Abstract

We show that all coalgebras over the sphere spectrum are cocommutative in the category of symmetric spectra, orthogonal spectra, Γ-spaces, W-spaces and EKMM \mathbbS-modules. Our result only applies to these strict monoidal categories of spectra and does not apply to the ∞-category setting.

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