Recent content by thekirk

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    Proof nowhere-dense of a closure's complement

    micromass- I have never seen that equation before. I have nowhere dense defined as: a set E in ℝ is nowhere dense if the closure of E contains no non-empty intervals. I will look at those equations and see what I can do. Thank you!
  2. T

    Proof nowhere-dense of a closure's complement

    Homework Statement A set E in ℝ is nowhere dense if and only if the closure of E's complement(E with a line over it) is dense in ℝ Homework Equations I need help proving this lemma. I'm not entirely sure where to start.The Attempt at a Solution I know we have to proof it two ways, backwards...