Deformation retraction/Definition

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Definition

A subspace, A, of a topological space (X,J) is called a deformation retract of X, if there exists a retraction[1], r:XA, with the additional property:

  • iArIdX[1]
Caution:Be sure to see the warnings on terminology

References

  1. Jump up to: 1.0 1.1 An Introduction to Algebraic Topology - Joseph J. Rotman