Uniformly disconnected space

In topology, a space is termed "uniformly disconnected" if it satisfies a particular property related to the concept of uniformity in topology. A uniformly disconnected space is a type of topological space in which disjoint open sets can be separated in a uniform manner across the entire space. More formally, a topological space \( X \) is called uniformly disconnected if every continuous function from \( X \) into a compact Hausdorff space is uniformly continuous.