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Download fileFinitely Approximable Groups and Actions Part I: the Ribes-Zalesskii Property
journal contribution
posted on 2012-03-16, 00:00 authored by Christian RosendalWe investigate extensions of S. Solecki’s theorem on closing off finite partial isometries of metric spaces [11] and obtain the following exact equivalence: any action of a discrete group Γ by isometries
of a metric space is finitely approximable if and only if any product of finitely generated subgroups of Γ is closed in the profinite topology on Γ.