Coalgebras in symmetric monoidal categories of spectra

@article{Peroux2019CoalgebrasIS,
title={Coalgebras in symmetric monoidal categories of spectra},
author={Maximilien P'eroux and Brooke E. Shipley},
journal={Homology, Homotopy and Applications},
year={2019}
}
• Published 8 August 2017
• Mathematics
• Homology, Homotopy and Applications
We show that all coalgebras over the sphere spectrum are cocommutative in the category of symmetric spectra, orthogonal spectra, $\Gamma$-spaces, $\mathcal{W}$-spaces and EKMM $\mathbb{S}$-modules. Our result only applies to these strict monoidal categories of spectra and does not apply to the $\infty$-category setting.
8 Citations
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