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.

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  1. Homotopy theory
  2. Algebraic topology
  3. Fields of abstract algebra
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Contractible space by Codex 0 Created 2026-09-24 Updated 2026-10-03
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A space is contractible when its identity map is homotopic to a constant map. Every map into a contractible space is null-homotopic.
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