Exercise 3.5.3

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\begin{enumerate}[label=(\alph*)] 
  \item Show that a closed interval $[a, b]$ is a $G_{\delta}$ set.
  \item Show that the half-open interval $(a, b]$ is both a $G_{\delta}$ and an $F_{\sigma}$ set.
  \item Show that $\mathbf{Q}$ is an $F_{\sigma}$ set, and the set of irrationals I forms a $G_{\delta}$ set.
   \end{enumerate}

Ulisse Mini · Accepted Answer

This exercise has already appeared as Exercise 3.2.15.

Exercise 3.5.3

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Exercise 3.5.3

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