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Math Help - Discrete Metric

  1. #1
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    Discrete Metric

    Dear Colleagues,

    Could you please help me in solving the following problem:

    Show that a discrete metric space is complete.

    Best Regards.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Hint : Every Cauchy sequence in a discrete metric space is eventually a constant.
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