2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115244Assuming the Continuum Hypothesis, there is a compact first countable connected space of weight aleph_1 with no totally disconnected perfect subsets. Each such space, however, may be destroyed by some proper forcing order which does not add reals.General TopologyLogic54D05; 03E35First Countable Continua and Proper Forcingtext