Arguably overkill, but here's a version using the TikZ libraries shapes.multipart, chains and positioning:
\documentclass[border=20pt,tikz]{standalone}
\usetikzlibrary{shapes.multipart,chains, positioning}
\begin{document}
\begin{tikzpicture}
[
double link/.style n args=2{% page 726
on chain,
rectangle split,
rectangle split horizontal,
rectangle split parts=2,
draw,
anchor=center,
text height=1.5ex,
node contents={#1\nodepart{two}#2},
},
start chain=going right,
]
\node [on chain] {$\phi$};
\node [join={by <-}, double link={a}{b}];
\node [join={by <->}, double link={c}{d}];
\node (a) [join={by <->}, double link={e}{f}];
\node (b) [on chain, right=2.5pt of a.east] {$\cdots$};
\node [double link={y}{z}, right=2.5pt of b.east];
\node [join={by ->}, on chain] {$\phi$};
\end{tikzpicture}
\end{document}

EDIT
In response to the comment asking about the addition of arcs, there are various options. Here are 4 different arcs in various colours for ease of identification. To please egreg, I assume that the thing which I read as the Greek letter phi is, in fact, intended to be an empty set.
\documentclass[border=20pt,tikz]{standalone}
\usetikzlibrary{shapes.multipart,chains, positioning}
\begin{document}
\begin{tikzpicture}
[
double link/.style n args=2{% page 726
on chain,
rectangle split,
rectangle split horizontal,
rectangle split parts=2,
draw,
anchor=center,
text height=1.5ex,
node contents={#1\nodepart{two}#2},
},
start chain=going right,
]
\node [on chain] {$\emptyset$};
\node (c) [join={by <-}, double link={a}{b}];
\node [join={by <->}, double link={c}{d}];
\node (a) [join={by <->}, double link={e}{f}];
\node (b) [on chain, right=2.5pt of a.east] {$\cdots$};
\node [join={with c by <->, bend right, draw=blue}, join={with c by <->, bend left, draw=green}, join={with c by <->, out=90, in=90, draw=red}, join={with c by <->, out=-135, in=-45, draw=magenta}, double link={y}{z}, right=2.5pt of b.east];
\node [join={by ->}, on chain] {$\emptyset$};
\end{tikzpicture}
\end{document}
