2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78154We prove a refinement of the Fatou-Shishikura Inequality - that the total count of nonrepelling cycles of a rational map is less than or equal to the number of independent infinite forward critical orbits - from a suitable application of Thurston's Rigidity Theorem - the injectivity of $I-f_*$ on spaces of meromorphic quadratic differentials.12 pages, 1 PostScript figureDynamical SystemsComplex Variablestext