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    Path connected problems

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    ? Show that, for , the sphere is path connected.
    ? Show that if f:X->Y is a continuous map between topological spaces and X is path connected, then the image f(Y) is also path connected.
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    © BrainMass Inc. brainmass.com October 9, 2019, 5:21 pm ad1c9bdddf
    https://brainmass.com/math/synthetic-geometry/55190

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    Solution Summary

    This solution is comprised of a detailed explanation to
    ? Show that, for , the sphere is path connected.
    ? Show that if f:X->Y is a continuous map between topological spaces and X is path connected, then the image f(Y) is also path connected.

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