Geodesic
On the dimension of classifying spaces for families of abelian subgroups
Homology, homotopy, and applications, Tome 19 (2017) no. 2, pp. 83-87.

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

We show that a finitely generated abelian group $G$ of torsion-free rank $n \geqslant 1$ admits an $(n+r)$-dimensional model for $E_{\mathfrak{F}_r} G$, where $\mathfrak{F}_r$ is the family of subgroups of torsion-free rank less than or equal to $r \geqslant 0$.
DOI : 10.4310/HHA.2017.v19.n2.a5
Classification : 18G99, 20J06, 55R35
Keywords: classifying space for a family, abelian group 
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Ged Corob Cook; Victor Moreno; Brita Nucinkis; Federico W. Pasini. On the dimension of classifying spaces for families of abelian subgroups. Homology, homotopy, and applications, Tome 19 (2017) no. 2, pp. 83-87. doi : 10.4310/HHA.2017.v19.n2.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n2.a5/

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