2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/28116We propose a new hierarchy scheme for the filling factor, a parameter which characterizes the occurrence of the Fractional Quantum Hall Effect (FQHE). We consider the Hausdorff dimension, $h$, as a parameter for classifying fractional spin particles, such that, it is written in terms of the statistics of the collective excitations. The number $h$ classifies these excitations with different statistics in terms of its homotopy class.latex, 4 pagesMesoscale and Nanoscale PhysicsHigh Energy Physics - Theorytext