deformation retract

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English[edit]

Alternative forms[edit]

Noun[edit]

deformation retract (plural deformation retracts)

  1. (topology) A subspace such that there is a retraction onto it of the ambient space homotopic to the identity function on the ambient space.

Further reading[edit]

Verb[edit]

deformation retract (third-person singular simple present deformation retracts, present participle deformation retracting, simple past and past participle deformation retracted)

  1. To have a deformation retract as a subspace.

Usage notes[edit]

  • The ambient space is said to deformation retract onto the subspace.