Arcwise connectedness of the boundaries of connected self-similar sets

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66602Let T be the attractor of injective contractions f_1,...,f_m on R^2 that satisfy the Open Set Condition. If T is connected, \partial T is arcwise connected. In particular, the boundary of the Levy dragon is arcwise connected.6 pages, no figureGeneral TopologyClassical Analysis and ODEs28A80 (Primary); 54F65 (Secondary)Arcwise connectedness of the boundaries of connected self-similar setstext