SDR-contractible space

Symbol-free definition
A topological space is said to be SDR-contractible if there exists a contracting homotopy which is also a strong deformation retraction, or equivalently, if there exists a single point that is a strong deformation retract.

Stronger properties

 * Everywhere SDR-contractible space
 * Suddenly SDR-contractible space

Weaker properties

 * Contractible space