2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106169We prove that the pluri-fine topology on any open set $Ω$ in $\mathbb{C}^{n}$ is locally connected. This answers a question by Fuglede in [4]. See also Bedford [6].7 pagesComplex Variables32U15, 31C40The pluri-fine topology is locally connectedtext