Conjuntos conexos

Conjuntos conexos, or connected sets, are groups within a mathematical space where any two points can be linked by a continuous path entirely contained within that group. Imagine a piece of clay without any holes or separations—any two points on it can be connected smoothly without leaving the clay. If a set is not connected, it means it consists of multiple parts that are separated, so you cannot travel within the set from one part to another without crossing outside. Connected sets are fundamental in topology and analysis for understanding the structure and continuity within spaces.