File:Affine space, projective space, vector space.svg

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Original file ‎(SVG file, nominally 183 × 114 pixels, file size: 20 KB)

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Summary[edit]

Description
English: A commutative diagram showing the relationship between affine space, projective space, and a vector space.
Date
Source Own work, created as per: Help:Displaying a formula: Commutative diagrams; source code below.
Author Nils R. Barth
Permission
(Reusing this file)
Nils R. Barth, the copyright holder of this work, hereby publishes it under the following license:
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

LaTeX source[edit]

\documentclass{amsart}
\usepackage[all, ps]{xy} % Loading the XY-Pic package
                         % Using postscript driver for smoother curves
\usepackage{color}       % For invisible frame
\begin{document}
\thispagestyle{empty} % No page numbers
\SelectTips{eu}{}     % Euler arrowheads (tips)
\setlength{\fboxsep}{0pt} % Frame box margin
{\color{white}\framebox{{\color{black}$$ % Frame for margin
 
\xymatrix@=6pt{
 &&K^{n+1} \ar@{->>}[dd] \\
 && \\
   \mathbf{A}^n \ar@{^(->}[rr]
 &&\mathbf{P}^n
}
 
$$}}} % end math, end frame
\end{document}

Licensing[edit]

Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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Date/TimeThumbnailDimensionsUserComment
current22:22, 21 February 2010Thumbnail for version as of 22:22, 21 February 2010183 × 114 (20 KB)Nbarth (talk | contribs){{Information |Description={{en|A en:commutative diagram showing the relationship between en:affine space, en:projective space, and a en:vector space.}} |Source={{own}} |Date=2010-02-21 |Author=Nils R. Barth |Permis

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