Sonika posted an Question
September 18, 2020 • 21:05 pm 30 points
  • CSIR NET
  • Mathematical Sciences

Example of set whuch is both open and close (non trivial)

example of set whuch is both open and close (non trivial)

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    Deepak singh 1 best-answer

    empty set (phi) and R ( real set) are always closed and open set... in real numbers system. there is no non trivial set which is both open and closed... it depends on metric , if we take discrete metric space , then all its subset is both open and closed ...

    eduncle-logo-app

    its quite satisfying , give some exqmple of discrete metric space where every set is open and close

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