Suvosree Laha posted an Question
April 24, 2021 • 18:03 pm 22 points
  • IIT JAM
  • Mathematics (MA)

If we define a finite subset of a discrete metric space.. is it open?

if we define a finite subset of a discrete metric space.. is it open?

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  • Suvosree laha

    can I conclude from here that a nonempty finite set of a metric space can be open?

  • Alka gupta best-answer

    every finite subset of a discrete metric space is both open and closed

  • Prafull kumar mehta Mehta best-answer

    Yes, it should be open because every singleton set is an open in discrete metric space, since we are talking about finite so their union is also an open set.

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