Geodesic
Realisability of the group of self-homotopy equivalences and local homotopy theory
Homology, homotopy, and applications, Tome 24 (2022) no. 1, pp. 205-215.

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

We prove that any group $G$ occurs as the quotient $\mathcal{E}(X) / \mathcal{E}_\ast (X)$, where $\mathcal{E}(X)$ denotes the group of self-homotopy equivalence of a certain CW‑complex $X$ and $\mathcal{E}_\ast (X)$ denotes its subgroup of the elements inducing the identity on the homology groups.
DOI : 10.4310/HHA.2022.v24.n1.a11
Classification : 55P10
Keywords: Kahn’s realisability problem of groups, group of homotopy self-equivalences, Anick’s $R$-local homotopy theory 
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     title = {Realisability of the group of self-homotopy equivalences and local homotopy theory},
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Mahmoud Benkhalifa. Realisability of the group of self-homotopy equivalences and local homotopy theory. Homology, homotopy, and applications, Tome 24 (2022) no. 1, pp. 205-215. doi : 10.4310/HHA.2022.v24.n1.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n1.a11/

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