2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112828We obtain scales of minimal complexity in $K(\mathbb{R})$ using a Levy hierarchy and a fine structure theory for $K(\mathbb{R})$; that is, we identify precisely those levels of the Levy hierarchy for $K(\mathbb{R})$ which possess the scale property.23 pagesLogic03E15 (Primary); 03E45, 03E60 (Secondary)Scales and the fine structure of K(R). Part III: Scales of minimal complexitytext