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    1. Mathematics
    2. Geometry and Topology
    3. Synthetic Geometry
    4. 100175

    Contractible Spaces : Homotopy Type

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    How can I show that the two contractible spaces have same homotopy type?

    keywords: homotopic

    © BrainMass Inc. brainmass.com October 9, 2019, 6:51 pm ad1c9bdddf
    https://brainmass.com/math/synthetic-geometry/contractible-spaces-homotopy-type-100175

    Solution Preview

    Suppose that X and Y are two contractible spaces. We want to show that X and Y have the
    same homotopy type.

    Since X and Y are contractible, there exist continuous ...

    Solution Summary

    Contractible Spaces and Homotopy Type are investigated.

    $2.19