Geodesic
Improved homological stability for configuration spaces after inverting $2$
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 255-266.

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

In Appendix A of his article on rational functions, Segal proved homological stability for configuration spaces with a stability slope of $1/2$. This was later improved to a slope of $1$ by Randal-Williams if one works with rational coefficients and manifolds of dimension at least $3$. In this note we prove that the stability slope of $1$ holds even with $\mathbb{Z}[1/2]$ coefficients, and clarify some aspects of Segal’s proof for topological manifolds.
DOI : 10.4310/HHA.2015.v17.n1.a12
Classification : 55R40, 55R80
Keywords: configuration space, homological stability, topological manifold 
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Alexander Kupers; Jeremy Miller. Improved homological stability for configuration spaces after inverting $2$. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 255-266. doi : 10.4310/HHA.2015.v17.n1.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a12/

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