# SDR-contractible space

From Topospaces

This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

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## Contents

## Definition

### 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.