Ankur posted an Question
November 28, 2020 • 22:08 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Is this correct.............................................

is this correct.............................................

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    Deepak singh 1 best-answer

    The union of any number of open sets/interior , or infinitely many open sets, is open/interior . The intersection of a finite number of open sets/ interior is open/interior . So here if n is finite then you are correct and if n is infinite then your statement is not correct  

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    here n is finite , So your statement is correct . any doubt??

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    @Deepak singh please reply

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    this result will apply on interior point as well..

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    i.e if here n is infinite then intersection of interior point is not equal to interior of whole . take an= intersection (-1/n,1/n) if n is finite only then equality holds .

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    feel free to ask again

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