Path-connectedness

Path-connectedness is a concept in mathematics, particularly in topology, that describes how points in a space can be connected. A space is said to be path-connected if you can draw a continuous line (a path) between any two points without lifting your pencil. This means that from any point in that space, you can reach any other point by moving along the path, without jumping or breaking the line. In simpler terms, if you can travel from one location to another within a set of points without interruptions, that set is considered path-connected.