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    Open and closed discrete spaces

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    Show that every subset of a discrete space is both open and closed.

    © BrainMass Inc. brainmass.com March 4, 2021, 7:12 pm ad1c9bdddf
    https://brainmass.com/math/geometry-and-topology/open-and-closed-discrete-spaces-87764

    Solution Preview

    Proof:
    First, let's clarify the definition of a discrete space.
    Given a set X, the discrete topology on X is defined by ...

    Solution Summary

    Open and closed discrete spaces are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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