Coalgebras in symmetric monoidal categories of spectra
Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 1-18.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2019.v21.n1.a1
Classification : 16T15, 18D10, 55P42, 55P43
Keywords: homotopy, spectrum, coalgebra, comonoid
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Maximilien Péroux; Brooke Shipley. Coalgebras in symmetric monoidal categories of spectra. Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 1-18. doi : 10.4310/HHA.2019.v21.n1.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n1.a1/

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