👉 In mathematics, a homotopy is an operation that takes two objects and produces another object. A homotopy between two objects is a continuous mapping between them. In other words, a homotopy is a transformation that preserves continuity. The term "homotropous" comes from the Latin word "homotrope," which means "stationary," as in a stationary point or station. This terminology reflects how a homotopy can be thought of as a continuous transformation that preserves