2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143935We give a complete classification of the set of parameters $κ$ for which the singular value of $E_κ:z\mapsto \exp(z)+κ$ escapes to infinity under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.13 pages, 1 figure -- final version (to appear in Proc. AMS); only minor changes from v5Dynamical SystemsComplex Variables37F10, 30D05text