2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63164We prove that AF-embeddability is a homotopy invariant in the class of separable exact $C^*$-algebras. This work was inspired by Spielberg's work on homotopy invariance of AF-embeddability and Dadarlat's serial works on AF-embeddability of residually finite dimensional $C^*$-algebras.5 pagesOperator Algebras46L05, 46L35text