2019/12/04 by Arcozzi, Nicola, Monguzzi, Alessandro, Salvatori, Maura · 1 citation
#28A78 30L05 #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.1912.02055
We characterize Q-dimensional Ahlfors regular spaces among trees' boundaries and show how to construct, for each 0 < α< Q, an α-regular subspace. As an application, we give an alternative simple proof of the existence of α-regular subspaces of a Q-dimensional complete Ahlfors regular metric space (X,ρ), which was proved in \citeJJKRRS.