arXiv:1810.03537 Abstract | arXiv Analytics

arXiv:1810.03537 [math.GT]Abstract References Reviews Resources

Asymptotic dimension and the disk graph II

Published 2018-10-08Version 1

We show that the asymptotic dimension of a hyperbolic relatively hyperbolic graph is finite provided that this holds true uniformly for the peripheral subgraphs and for the electrifiation. We use this to show that the asymptotic dimension of the disk graph of a handlebody of genus at least two is at most quadratic in the genus.

Comments: 10 pages

Categories: math.GT

Subjects: 57M99

Keywords: asymptotic dimension, disk graph, hyperbolic relatively hyperbolic graph, peripheral subgraphs, holds true

Related articles: Most relevant | Search more

arXiv:math/0211069 [math.GT] (Published 2002-11-04)

Universal spaces for asymptotic dimension

A. Dranishnikov, M. Zarichnyi

arXiv:math/0603055 [math.GT] (Published 2006-03-02)

Asymptotic Dimension of Discrete Groups

A. Dranishnikov, J. Smith

arXiv:2401.02560 [math.GT] (Published 2024-01-04)