54-00-DerivedSet.tex

\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{DerivedSet}
\pmcreated{2013-03-22 13:35:06}
\pmmodified{2013-03-22 13:35:06}
\pmowner{bwebste}{988}
\pmmodifier{bwebste}{988}
\pmtitle{derived set}
\pmrecord{7}{34207}
\pmprivacy{1}
\pmauthor{bwebste}{988}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{54-00}
\pmrelated{CantorBendixsonDerivative}

\endmetadata

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\begin{document}
{\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}
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\end{document}