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| Title of object: |
contractible |
| Canonical Name: |
Contractible |
| Type: |
Definition |
| Created on: |
2002-01-23 14:23:02 |
| Modified on: |
2002-02-12 08:03:47 |
| Classification: |
msc:55Q52 |
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 |
Content:
| A topological space is said to be \emph{contractible} if it is homotopy equivalent to a point. Equivalently, the space is contractible if the constant map is homotopic to the identity map. A contractible space has a trivial fundamental group. |
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