Anku posted an Question
January 03, 2021 • 20:33 pm 30 points
  • IIT JAM
  • Mathematics (MA)

In which case supremum of set equal to infimum of same set

in which case supremum of set equal to infimum of same set

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  • Anonymous User

    For a singleton set. Sup of s set is equal to infimum of a set

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    Satpal singh best-answer

    A single element set has the same supremum and infimum. If a set has two distinct real numbers (or more) then we can pick two different elements a and b. Let b be the larger of the two. Then the supremum is bigger than b and infimum smaller than a, and hence the two are different.

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