<?xml version="1.0" encoding="UTF-8"?>

<record version="4" id="4207">
 <title>derived set</title>
 <name>DerivedSet</name>
 <created>2003-04-23 17:10:55</created>
 <modified>2007-08-09 01:27:11</modified>
 <type>Definition</type>
 <creator id="988" name="bwebste"/>
 <author id="988" name="bwebste"/>
 <author id="1858" name="matte"/>
 <classification>
	<category scheme="msc" code="54-00"/>
 </classification>
 <related>
	<object name="CantorBendixsonDerivative"/>
 </related>
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 <content>{\bf Definition.}
Let $X$ be a topological space and let $A$ be a subset of $X$.
The \emph{derived set} $A'$ of $A$ is the set of all limit points
of $A$ in $X$ \cite{kelley}.

\begin{thebibliography}{9}
\bibitem{kelley}
J.L. Kelley,
\emph{General Topology},
D. van Nostrand Company, Inc., 1955.
\end{thebibliography}</content>
</record>
