2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143944Let f be an entire function with a bounded set of singular values, and suppose furthermore that the postsingular set of f is bounded. We show that every component of the escaping set I(f) is unbounded. This provides a partial answer to a question of Eremenko.7 pages; 1 figure. V2: Final version (some minor changes)Dynamical SystemsComplex Variables37F10; 30D05On a question of Eremenko concerning escaping components of entire functionstext