File:Homotopy extension property rotated.svg
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Size of this PNG preview of this SVG file: 659 × 497 pixels. Other resolutions: 318 × 240 pixels | 637 × 480 pixels | 1,018 × 768 pixels | 1,280 × 965 pixels | 2,560 × 1,931 pixels.
Original file (SVG file, nominally 659 × 497 pixels, file size: 19 KB)
Summary
| Description |
English: A commutative diagram demonstrating the homotopy extension property in a way coherent with the image
in the homotopy lifting property article under the formal definition section. In other words, it is a 180° rotated version of the image
with some slight modifications for consistency with the exposition in the homotopy extension property article in the definition section. Made via LaTeX, using the LaTeX source: \documentclass[tikz]{standalone}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[baseline= (a).base]
\node[scale=9] (a) at (0,0)
{
\begin{tikzcd}
A \arrow[r, "f_\bullet"] \arrow[d, "\iota"] & Y^I \arrow[d, two heads, "\pi_0"] \\
X \arrow[r, "\tilde{f}_0"] \arrow[ur, dashed, "\tilde{f}_\bullet"] & Y
\end{tikzcd}
};
\end{tikzpicture}
\end{document}
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| Date | |
| Source | Own work |
| Author | Athena.Jennings |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
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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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 06:09, 18 January 2023 | | 659 × 497 (19 KB) | wikimediacommons>Athena.Jennings | Changed i & p to iota & pi for consistency with mathematical notation on inclusion and projection maps. |
File usage
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