👉 Catastatic is a concept in mathematics, specifically in the field of algebraic topology. It refers to a topological space where every point has a neighborhood that is homeomorphic to the unit interval [0,1] (the line segment between 0 and 1). This property is known as "catastrophe" or "catastasis," referring to the idea that any two points in the space are connected by a path of length at least 2. The term was