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Math Help - CounterExamples for sets questions

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    CounterExamples for sets questions

    Let S and T be subsets of R. find a counterexample for each of the following:

    a) If p is the set of all isolated points of S, then p is a closed set.
    d) bd(cl S) = bd S
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  2. #2
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    Quote Originally Posted by p00ndawg View Post
    Let S and T be subsets of R. find a counterexample for each of the following:
    a) If p is the set of all isolated points of S, then p is a closed set.
    d) bd(cl S) = bd S
    See what you can do with these.
    \begin{gathered}<br />
  a)\quad S = \left\{ {\frac{1}<br />
{n}:n \in \mathbb{Z}^ +  } \right\} \hfill \\<br />
  d)\quad T = (0,1) \cup (1,2) \hfill \\ <br />
\end{gathered}
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