Pseudocompact space
= Pseudocompact space
{wiki=Pseudocompact_space}
In topology, a pseudocompact space is a type of topological space that generalizes the notion of compactness without necessarily requiring the space to be compact in the traditional sense. A topological space \\( X \\) is said to be **pseudocompact** if every real-valued continuous function on \\( X \\) is bounded.