Compactness refers to the property of a shape or object being closely packed together, minimizing empty space. In mathematics, particularly in topology, a set is considered compact if it is both closed and bounded. This means that it contains all its limit points and fits within a finite space. In everyday life, compactness can be seen in various objects, such as compact cars designed to occupy less space while still providing functionality. Compactness is often valued for efficiency, making it easier to store, transport, and use items without unnecessary bulk.