👉 In mathematics, a saddleless set is a subset of a metric space that does not contain any point that can be reached by a sequence of points in the space. This means that every point in the set is reachable from all other points in the set by a finite number of steps. Saddleless sets are important in many areas of mathematics, including topology and graph theory. They arise naturally in problems related to connectivity and planarity, and their existence can be used to prove various results about graphs
