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

<record version="2" id="3025">
 <title>nowhere dense</title>
 <name>NowhereDense</name>
 <created>2002-06-04 07:56:58</created>
 <modified>2002-06-05 04:08:28</modified>
 <type>Definition</type>
 <creator id="338" name="ariels"/>
 <author id="338" name="ariels"/>
 <classification>
	<category scheme="msc" code="54A99"/>
 </classification>
 <preamble>% this is the default PlanetMath preamble.  as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}

% there are many more packages, add them here as you need them

% define commands here

\newcommand{\Prob}[2]{\mathbb{P}_{#1}\left\{#2\right\}}</preamble>
 <content>In a topological space~$X$, a set~$A$ is called \emph{nowhere dense} if the interior of its closure is empty: $\operatorname{int} \overline{A} = \emptyset$.</content>
</record>
