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Ankit posted an Question
July 24, 2020 • 05:08 am 30 points
  • IIT JAM
  • Mathematics (MA)

S= ulaodts he dleen te bltueeu i e ad dense w delas e batta a4 t.

S= ulAOdts he dleen te bltueeu i e AD Dense w DeLAS e batta a4 t.

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    Deepak singh 1

    see example , 1. Q and Qc are dense in R but Q intersection [0,1] is dense in itself but no dense in R

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    yes sir.. that's what i am asking.. why is this happening.. as itself means Q set

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    see attached , it may help u

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    let 2 belongs to R then it's neighborhood doesn't belongs Q intersection [0,1] , so Q intersection [0,1 ] is not dense in R ..

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    so if u take any element of Q intersection [0,1] then its neighborhood or limit point will be in Q intersection [0,1]

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    that's why Q intersection [0,1] is dense in itself but not dense in R

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    any doubt in this .

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    Deepak singh 1

    1.dense in itself means - if set A has no isolated points . 2.perfect set implies dense in itself 3. Q is dense because in neighborhood of any x belongs to Q there always exist an rational ..

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    sir... dense in itself and dense in Q are different for set S???

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    see example

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