Suvosree laha Asked a Question
April 24, 2021 12:33 pmpts 22 pts
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?
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  • Alka gupta thankyou
    every finite subset of a discrete metric space is both open and closed
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  • Prafull kumar mehta Mehta thankyou
    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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