Conjuntos compactos

Compact sets, or "conjuntos compactos," are a fundamental concept in mathematics, particularly in topology. They are sets that, intuitively, can be thought of as being both "closed" and "bounded." This means that they contain all their limit points (closed) and can fit within a finite space (bounded). For example, a solid ball in three-dimensional space is a compact set, while an open ball or a line stretching to infinity is not. Compactness is important because it often allows for useful properties, like the ability to extract convergence from sequences within the set.