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homotopy type. This relation of homotopy equivalence is often denoted . Intuitively, two spaces X and Y are homotopy equivalent if they can be transformed into one another by bending, shrinking and expanding operations. Spaces that are homotopy equivalent to a point are called contractible.

Homotopy equivalence vs. homeomorphism

A homeomorphism is a special case of a homotopy equivalence, in which 1=''g'' ? ''f'' is equal to the

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