A topological space \(X\) is locally connected if for every \(x\in X\) and every neighborhood \(U\) of \(x\) there is a connected open set \(V\) with \(x\in V\subseteq U\).
See [@Mun00].
Locally connected space
D-GYBZ2
D-GYBZ2
A topological space \(X\) is locally connected if for every \(x\in X\) and every neighborhood \(U\) of \(x\) there is a connected open set \(V\) with \(x\in V\subseteq U\).
See [@Mun00].