2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79339We prove some rather precise renorming theorems for Banach spaces with Szlenk index $ω_0$. We use these theorems to show the invariance of certain quantitative Szlenk-type indices under uniform homeomorphisms.28 pagesFunctional Analysis46B03, 46B20text