👉 In mathematics, a contractible space is a topological space that can be embedded in a way that any deformation of it into itself is homotopic to an open subset of itself. This means that every continuous map from the contractible space into itself is homotopic to a constant map. For example: 1. The real line R with the usual topology, which is contractible. 2. The Cantor set C in the plane, which is contractible and homeomorphic to the unit