File:LeftKanExtension universal property.svg

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Original file (SVG file, nominally 219 × 92 pixels, file size: 7 KB)

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Description
English: The universal property of the left kan extension L of X along F.
Date
Source Own work
Author SemperVinco

Licensing

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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.

LaTeX source

[edit]
\documentclass[tikz]{standalone}
\usetikzlibrary{arrows, cd}

\begin{document}

\begin{tikzcd}
	& \mathbf{B} \ar[dr,dashed,"R"] \ar[d,Rightarrow,"\epsilon",shorten=5pt] & \\
	\mathbf{A} \ar[ur,"F"] \ar[rr,"X"'] & {} & \mathbf{C}
\end{tikzcd}

\begin{tikzcd}
	& RF \ar[dl,"\epsilon"'] & \\
	X & & MF \ar[ll,"\mu"] \ar[ul,dashed,"\delta_F"']
\end{tikzcd}

\begin{tikzcd}
	& \mathbf{B} \ar[dr,dashed,"L"] & \\
	\mathbf{A} \ar[ur,"F"] \ar[rr,"X"'] & {} \ar[u,Rightarrow,"\eta"', shorten=5pt] & \mathbf{C}
\end{tikzcd}

\begin{tikzcd}
	& LF \ar[dr,dashed,"\sigma_F"] & \\
	X \ar[ur,"\eta"] \ar[rr,"\alpha"'] & & MF
\end{tikzcd}

\end{document}

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Date/TimeThumbnailDimensionsUserComment
current00:43, 27 February 2022Thumbnail for version as of 00:43, 27 February 2022219 × 92 (7 KB)SemperVinco (talk | contribs)Uploaded own work with UploadWizard

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