Isolating neighborhood
= Isolating neighborhood
{wiki=Isolating_neighborhood}
The term "isolating neighborhood" typically refers to a concept in topology and mathematical analysis. In these contexts, an isolating neighborhood of a point in a space is a neighborhood that only contains that point and does not include any other points that are "close" to it. More formally, consider a topological space \\(X\\) and a point \\(x \\in X\\).