Pointed space
= Pointed space
{wiki=Pointed_space}
In category theory and related fields in mathematics, a **pointed space** is a type of topological space that has a distinguished point. More formally, a pointed space is a pair \\((X, x_0)\\), where \\(X\\) is a topological space and \\(x_0 \\in X\\) is a specified point called the **base point** or **point of interest**.