Geodesic
A degree theorem for the simplicial closure of Auter Space
Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 189-199.

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

The degree of a based graph is the number of essential non-basepoint vertices after generic perturbation. Hatcher–Vogtmann’s degree theorem states that the subcomplex of Auter Space of graphs of degree at most $d$ is $(d-1)$-connected. We extend the definition of degree to the simplicial closure of Auter Space and prove a version of Hatcher–Vogtmann’s result in this context.
DOI : 10.4310/HHA.2024.v26.n1.a13
Classification : 20F28, 55U10
Keywords: homology, homotopy 
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Juliet Aygun; Jeremy Miller. A degree theorem for the simplicial closure of Auter Space. Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 189-199. doi : 10.4310/HHA.2024.v26.n1.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a13/

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