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

<record version="2" id="8124">
 <title>Baire space</title>
 <name>BaireSpace2</name>
 <created>2006-07-07 06:56:48</created>
 <modified>2006-07-07 08:10:29</modified>
 <type>Definition</type>
 <creator id="2727" name="mathcam"/>
 <author id="2760" name="yark"/>
 <author id="10588" name="kompik"/>
 <classification>
	<category scheme="msc" code="54E50"/>
 </classification>
 <preamble>\usepackage{amssymb}
\newcommand{\N}[0]{\mathbb{N}}
</preamble>
 <content>Baire space is the topological product of countably many copies of $\N$ with discrete topology.

It is a Polish space.

\begin{thebibliography}{9}
\bibitem{wiki} Wikipedia's entry on \PMlinkexternal{Baire space (set theory)}{http://en.wikipedia.org/wiki/Baire_space_(set_theory)}
\end{thebibliography} 
</content>
</record>
