2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224837We find necessary and sufficient conditions under which an arbitrary metric space $X$ has a unique pretangent space at the marked point $a\in X$. Key words: Metric spaces; Tangent spaces to metric spaces; Uniqueness of tangent metric spaces; Tangent space to the Cantor set.20 pagesMetric GeometryClassical Analysis and ODEs54E35Metric spaces with unique pretangent spacestext