Geodesic
Self-duality of the lattice of transfer systems via weak factorization systems
Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 115-134.

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

For a finite group $G$, $G$-transfer systems are combinatorial objects which encode the homotopy category of $G$-$N_\infty$ operads, whose algebras in $G$-spectra are $E_\infty$ $G$-spectra with a specified collection of multiplicative norms. For $G$ finite Abelian, we demonstrate a correspondence between $G$-transfer systems and weak factorization systems on the poset category of subgroups of $G$. This induces a self-duality on the lattice of $G$-transfer systems.
DOI : 10.4310/HHA.2022.v24.n2.a6
Classification : 18A32, 55P91
Keywords: transfer system, weak factorization system 
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     title = {Self-duality of the lattice of transfer systems via weak factorization systems},
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Evan E. Franchere; Kyle Ormsby; Angélica M. Osorno; Weihang Qin; Riley Waugh. Self-duality of the lattice of transfer systems via weak factorization systems. Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 115-134. doi : 10.4310/HHA.2022.v24.n2.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a6/

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