File:Homotopy extension property rotated.svg

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

Captions

Captions

The homotopy extension property represented by a commutative diagram.

Summary

[edit]
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

[edit]
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.

File history

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Date/TimeThumbnailDimensionsUserComment
current06:09, 18 January 2023Thumbnail for version as of 06:09, 18 January 2023659 × 497 (19 KB)Athena.Jennings (talk | contribs)Changed i & p to iota & pi for consistency with mathematical notation on inclusion and projection maps.
04:57, 18 January 2023Thumbnail for version as of 04:57, 18 January 2023651 × 493 (20 KB)Athena.Jennings (talk | contribs)Added bullets in diagram to be consistent with an associated modification to the [https://en.wikipedia.org/wiki/Homotopy_extension_property#Definition definition section] in the article on the homotopy extension property.
07:46, 18 December 2022Thumbnail for version as of 07:46, 18 December 2022654 × 501 (19 KB)Athena.Jennings (talk | contribs)Double headed appropriate arrow.
07:16, 18 December 2022Thumbnail for version as of 07:16, 18 December 2022655 × 501 (19 KB)Athena.Jennings (talk | contribs)Fixed cropping.
06:33, 18 December 2022Thumbnail for version as of 06:33, 18 December 2022649 × 486 (15 KB)Athena.Jennings (talk | contribs)Fixed font and scale.
05:29, 18 December 2022Thumbnail for version as of 05:29, 18 December 2022640 × 484 (7 KB)Athena.Jennings (talk | contribs)Fixed non-display issue.
05:21, 18 December 2022Thumbnail for version as of 05:21, 18 December 2022512 × 387 (24 KB)Athena.Jennings (talk | contribs)Uploaded own work with UploadWizard

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