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Viewing Version 1 of 'Heine-Cantor theorem'
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Title of object: Heine-Cantor theorem
Canonical Name: HeineCantorTheorem
Type: Theorem

Created on: 2002-06-07 09:32:28-04
Modified on: 2002-06-07 20:36:50-04

Creator: n3o
Modifier: n3o
Author: n3o

Classification: msc:46A99

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}
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% define commands here
Content:

Let $K$ be a compact uniform space, and $f: K \rightarrow \mathbb{R}$ a continuous function. Then $f$ is uniformly continuous.