File:Homotopy extension property rotated.svg

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Original file (SVG file, nominally 659 × 497 pixels, file size: 19 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description
English: A commutative diagram demonstrating the homotopy extension property in a way coherent with the image

Homotopy_lifting_property.svg

in the homotopy lifting property article under the formal definition section.

In other words, it is a 180° rotated version of the image

Homotopy extension property.svg,

with some slight modifications for consistency with the exposition in the homotopy extension property article in the definition section.

Made via LaTeX, using the tikz & tikz-cd packages, as well as the standalone document class. Compiled using pdflatex. Converted from PDF to SVG using dvisvgm as in dvisvgm --pdf --no-fonts homotopy_extension_property_rotated.pdf. Cropped using Inkscape.

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}
Date
Source Own work
Author Athena.Jennings

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
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.

Captions

The homotopy extension property represented by a commutative diagram.

17 December 2022

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current07:09, 18 January 2023Thumbnail for version as of 07:09, 18 January 2023659 × 497 (19 KB)wikimediacommons>Athena.JenningsChanged i & p to iota & pi for consistency with mathematical notation on inclusion and projection maps.

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