deformation retract

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English

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Alternative forms

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Noun

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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

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Verb

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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

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