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Math Help - Sets > Metric Space > Euclidean Space

  1. #1
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    Sets > Metric Space > Euclidean Space

    How do sets become Metric Space?

    How does Metric Space make Euclidean Space?

    Do you know where I could find a good explanation?
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by lrl4565 View Post
    How do sets become Metric Space?

    How does Metric Space make Euclidean Space?

    Do you know where I could find a good explanation?
    This question really doesn't make sense.

    A set becomes a metric space by defining a suitable metric on it.

    A metric space doesn't "make" a Euclidean space. That is just a particular exampe.
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  3. #3
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    Alright, a Euclidean space is a type of metric space. What makes a metric space Euclidean?
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by lrl4565 View Post
    Alright, a Euclidean space is a type of metric space. What makes a metric space Euclidean?
    As far I know a Euclidean space is a real-coordinate space with the usual inner product and ensuing norms and metric. See here for more info and report back with any questions.
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