2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63762We describe a circle of ideas relating the dynamics of 2-dimensional homeomorphisms to that of 1-dimensional endomorphisms. This is used to introduce a new class of maps generalizing that of Thurston's pseudo-Anosov homeomorphisms.21 pages, 18 figuresDynamical SystemsGeometric TopologyExtensions, quotients and generalized pseudo-Anosov mapstext