 Contractible space

A space is contractible when its identity map is homotopic to a constant map. Every map into a contractible space is null-homotopic.

In the field of topology, a **contractible space** is a type of topological space that is homotopically equivalent to a single point. This means that there exists a continuous deformation (a homotopy) that can transform the entire space into a point while keeping the structure of the space intact.