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    Maximum and minimum mapping

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    Prove: A continuous mapping T of a compact subset M of a metric space X into assumes a maximum and a minimum at some points of M.

    © BrainMass Inc. brainmass.com October 9, 2019, 5:47 pm ad1c9bdddf
    https://brainmass.com/math/optimization/maximum-minimum-mapping-67859

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    Prove: A continuous mapping T of a compact subset M of a metric space X into assumes a maximum and a minimum at some points of M.

    Proof:
    First, we know, is a ...

    Solution Summary

    This is a proof that a continuous mapping with given conditions assumes a maximum and minimum.

    $2.19