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 [8].
(2023). Ahlfors regular spaces have regular subspaces of any dimension [journal article - articolo]. In RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. Retrieved from https://hdl.handle.net/10446/259589
Ahlfors regular spaces have regular subspaces of any dimension
Monguzzi, Alessandro;
2023-01-01
Abstract
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 [8].File allegato/i alla scheda:
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2023 - Arcozzi & Monguzzi & Salvatori - Ahlfors regular spaces have regular subspaces of any dimension .pdf
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