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<record version="5" id="6291">
 <title>zero dimensional</title>
 <name>ZeroDimensional</name>
 <created>2004-10-04 14:21:02</created>
 <modified>2008-01-17 20:34:54</modified>
 <type>Definition</type>
 <creator id="1858" name="matte"/>
 <author id="3771" name="CWoo"/>
 <author id="1858" name="matte"/>
 <classification>
	<category scheme="msc" code="54-00"/>
 </classification>
 <synonyms>
	<synonym concept="zero dimensional" alias="zero-dimensional"/>
 </synonyms>
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	<object name="SeparationAxioms"/>
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 <content>\begin{defn} \cite{steen, willard}
Suppose $X$ is a topological space. If $X$ has a basis consising of
clopen sets, then $X$ is said to be \PMlinkescapetext{\emph{zero dimensional}}. 
\end{defn}


\begin{thebibliography}{9}
\bibitem{steen} L.A. Steen, J.A.Seebach, Jr.,
\emph{Counterexamples in topology},
Holt, Rinehart and Winston, Inc., 1970.
\bibitem{willard} S. Willard, \emph{General Topology},
Addison-Wesley, Publishing Company, 1970.
\end{thebibliography}</content>
</record>
