Data di Pubblicazione:
2023
Citazione:
Ahlfors regular spaces have regular subspaces of any dimension / N. Arcozzi, A. Monguzzi, M. Salvatori. - In: RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA. - ISSN 0035-6298. - 14:1(2023), pp. 19-32.
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].
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Ahlfors regular space; imbedding of metric spaces
Elenco autori:
N. Arcozzi, A. Monguzzi, M. Salvatori
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