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I am writing a paper about Cantor's set and in the following excerpt I have a list of four items. Each item has a short description which is directly to the right.

I really don't like the way that itemize looks, specifically that it is so far to the left and not centered. Does anyone know a good way to format a list like this? I am open to any and all suggestions.

To begin, consider the points in $[0,1]$ represented in ternary. By removing the open middle third from $[0,1]$, we remove all numbers of the form $0.1\textnormal{xxxx}..._3$ where the $0.0\textnormal{xxxx}..._3$ is strictly between $0.0000..._3$ and $0.02222..._3$. The ``strictly" conditions ensures that $0.1_3$ and $0.1222..._3 = 0.2_3$, are not removed. Thus, the numbers remaining in $[0,1]$ after the first removal have the form


    \begin{itemize}
        \item $0.0\textnormal{xxxx}..._3$ \hspace{5mm} Numbers between $0$ and $1/3$
        \item $0.02222..._3$ \hspace{5mm} $1/3$
        \item $0.12222..._3$ \hspace {5mm} $2/3$
        \item $0.2\textnormal{xxxx}..._3$ \hspace{5mm} Numbers between $2/3$ and $1$
    \end{itemize}
  • What are the "..." parts supposed to signify? A typographic ellipsis? If so, it would be better to write \dots. – Mico Feb 28 '17 at 19:49
  • I also think you should write 0.0\overline{22}_3 (=0.1_3) and 0.1\overline{22}_3 (=0.2_3) to denote more clearly that the digit 2 is repeated indefinitely. Otherwise, somebody might misread 0.02222..._3, say, as containing 0.02222111100002222..._3 as a valid element. – Mico Feb 28 '17 at 20:17
1

Instead of list is probalbly better use tabular environment:

\documentclass{article}
\usepackage{mathtools}
\usepackage{array}

\begin{document}
To begin, consider the points in $[0,1]$ represented in ternary. By removing the open middle third from $[0,1]$, we remove all numbers of the form $0.1\textnormal{xxxx}..._3$ where the $0.0\textnormal{xxxx}..._3$ is strictly between $0.0000..._3$ and $0.02222..._3$. The ``strictly" conditions ensures that $0.1_3$ and $0.1222..._3 = 0.2_3$, are not removed. Thus, the numbers remaining in $[0,1]$ after the first removal have the form
    \begin{center}
\begin{tabular}{>{\textbullet}c >{$}l<{$} l}
    &   0.0\text{xxxx}\dots_3   &   Numbers between $0$ and $1/3$   \\
    &   0.02222\dots_3          &   $1/3$                           \\
    &   0.12222\dots_3          &   $2/3$                           \\
    &   0.2\text{xxxx}\dots_3   &   Numbers between $2/3$ and $1$
\end{tabular}
    \end{center}
or beter without bullets?
    \begin{center}
\begin{tabular}{>{$}l<{$} l}
0.0\text{xxxx}\dots_3   &   Numbers between $0$ and $1/3$   \\
0.02222\dots_3          &   $1/3$                           \\
0.12222\dots_3          &   $2/3$                           \\
0.2\text{xxxx}\dots_3   &   Numbers between $2/3$ and $1$
\end{tabular}
    \end{center}
\end{document}

enter image description here

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