Geodesic
Global model structures for $\ast$-modules
Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 213-230.

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

We extend Schwede’s work on the unstable global homotopy theory of orthogonal spaces and $\mathcal{L}$-spaces to the category of $\ast$-modules (i.e., unstable S-modules). We prove a theorem which transports model structures and their properties from $\mathcal{L}$-spaces to $\ast$-modules and show that the resulting global model structure for $\ast$-modules is monoidally Quillen equivalent to that of orthogonal spaces. As a consequence, there are induced Quillen equivalences between the associated model categories of monoids, which identify equivalent models for the global homotopy theory of $A_\infty$-spaces.
DOI : 10.4310/HHA.2019.v21.n2.a12
Classification : 18G55, 55P91
Keywords: global homotopy theory, equivariant homotopy theory, model category, orthogonal space, $\ast$-module 
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     author = {Benjamin B\"ohme},
     title = {Global model structures for $\ast$-modules},
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     pages = {213--230},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a12/}
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Benjamin Böhme. Global model structures for $\ast$-modules. Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 213-230. doi : 10.4310/HHA.2019.v21.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a12/

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