54-00-ContinuousProperMap.tex

\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{ContinuousProperMap}
\pmcreated{2013-03-22 13:34:22}
\pmmodified{2013-03-22 13:34:22}
\pmowner{CWoo}{3771}
\pmmodifier{CWoo}{3771}
\pmtitle{continuous proper map}
\pmrecord{4}{34190}
\pmprivacy{1}
\pmauthor{CWoo}{3771}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{54-00}
\pmsynonym{continuous proper function}{ContinuousProperMap}
\pmsynonym{continuous proper}{ContinuousProperMap}

\endmetadata

% 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
\def\sse{\subseteq}
\def\bigtimes{\mathop{\mbox{\Huge $\times$}}}
\def\impl{\Rightarrow}
\begin{document}
Let $X, Y$ be topological spaces and $p\colon X\to Y$ a continuous map.
The map $p$ is called \emph{continuous proper} if for every compact $K\sse Y$
the preimage $p^{-1}(K)$ is compact in $X$.
%%%%%
%%%%%
\end{document}