Compact Space

In mathematics, specifically in topology, a compact space is a type of space that behaves nicely in terms of limits and continuity. You can think of it like a "bounded" and "closed" set. If you can cover the entire space with a collection of open sets, you can do so with a limited number of them. This means that every sequence or collection of points in the space has a limit point that also lies within the space. Compactness is essential in various fields because it ensures that certain properties hold, such as the ability to find maximum values in functions.