Dense linear orders

http://mathcs.chapman.edu/structuresold/files/Dense_linear_orders.pdf

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\begin{document}
\textbf{\Large Dense linear orders}
\quad\href{http://math.chapman.edu/cgi-bin/structures?action=edit;id=Dense_linear_orders}{edit}

\begin{definition}
A \emph{dense linear order} is a \href{Chains.pdf}{Chains} $\mathbf{D}=\langle D,\le\rangle$ such that

$\le$ is \emph{dense}:  $x<y\implies\exists z (x<z$, $z<y)$


Remark: 

\end{definition}
\begin{morphisms}
Let $\mathbf{C}$ and $\mathbf{D}$ be dense linear orders. A morphism from $\mathbf{C}$ to $\mathbf{D}$ is a function $h:C\rightarrow D$ that is a orderpreserving: 

$x\le y\implies h(x)\le h(y)$

\end{morphisms}
\begin{basic_results}
\end{basic_results}
\begin{examples}
\begin{example}
\end{example}
\end{examples}

\begin{table}[h]
\begin{properties} (\href{http://math.chapman.edu/cgi-bin/structures?Properties}{description})

\begin{tabular}{|ll|}\hline
Classtype & first-order\\\hline
Quasiequational theory & \\\hline
First-order theory & \\\hline
Amalgamation property & \\\hline
Strong amalgamation property & \\\hline
Epimorphisms are surjective & \\\hline
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\end{properties}
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\begin{subclasses}\ 

\href{Dense_linear_orders_without_endpoints.pdf}{Dense linear orders without endpoints} 

\end{subclasses}
\begin{superclasses}\ 

\href{Chains.pdf}{Chains} 

\end{superclasses}

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\bibitem{Ln19xx}

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\end{document}
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