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Viewing Version
2
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'point'
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| Title of object: |
point |
| Canonical Name: |
Point |
| Type: |
Definition |
| Created on: |
2006-07-24 20:35:10 |
| Modified on: |
2006-07-24 21:40:58 |
| Classification: |
msc:51-00, msc:54-00, msc:15-00 |
Revision comment (for changes between this and next version):
Added link for incidence geometry.
Italicized ``point'' in second sentence. |
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
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Content:
In a vector space, an affine space, or more generally an incidence geoemtry, a {\sl point\/} is a \PMlinkname{zero}{Zero} \PMlinkname{dimensional}{Dimension3} \PMlinkescapetext{object}.
In a projective geometry, a point is a one-dimensional subspace.
In a topology, a {\sl point\/} is an element of a topological space. |
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