Ultraconnected space
= Ultraconnected space
{wiki=Ultraconnected_space}
An ultraconnected space is a concept in topology—a branch of mathematics that studies the properties of space that are preserved under continuous transformations. A topological space \\( X \\) is called **ultraconnected** if it is non-empty and any two open sets in \\( X \\) intersect non-trivially, meaning that the intersection of any two non-empty open sets is not empty.