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Math Help - I need your help as soon as you can

  1. #1
    Junior Member miss_lolitta's Avatar
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    Question I need your help as soon as you can

    Can you help me to solve this exercise ?

    If a is any subset of R^p, then there exists a countable subset C of A such that if x in A

    and epsilon > 0 , then there is an element z in C such that ||x-z|| < epsilon . Hence every elements of A is either in C or is a cluster point of C

    This exercise from the elements of real analysis for Robert G.Bartle

    I need your help as soon as you can

    Miss_Lolitta
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  2. #2
    Super Member Rebesques's Avatar
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    Just take C=A\cap\mathbb{Q}^p; Fill in the details.
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