File:Exteriorderivnatural.svg

Original file (SVG file, nominally 161 × 78 pixels, file size: 17 KB)

Summary

Description
English: Commutative diagram about the exterior derivative and the pullback of differential forms
中文(简体):​关于外微分与微分形式的拉回的交换图表
Date
Source Own work
Author Ascchrvalstr

Source code

\documentclass[crop,tikz,convert={outext=.svg,command=\unexpanded{pdf2svg \infile\space\outfile}},multi=false]{standalone}
\usepackage{tikz-cd}

\tikzcdset{arrow style=tikz, diagrams={>=stealth}}

\begin{document}
% https://q.uiver.app/#q=WzAsNCxbMCwwLCJcXE9tZWdhXmsoTikiXSxbMSwwLCJcXE9tZWdhXmsoTSkiXSxbMCwxLCJcXE9tZWdhXntrKzF9KE4pIl0sWzEsMSwiXFxPbWVnYV57aysxfShNKSJdLFswLDEsImZeKiJdLFswLDIsImQiLDJdLFsyLDMsImZeKiIsMl0sWzEsMywiZCJdXQ==
\begin{tikzcd}
	{\Omega^k(N)} & {\Omega^k(M)} \\
	{\Omega^{k+1}(N)} & {\Omega^{k+1}(M)}
	\arrow["{f^*}", from=1-1, to=1-2]
	\arrow["d"', from=1-1, to=2-1]
	\arrow["d", from=1-2, to=2-2]
	\arrow["{f^*}"', from=2-1, to=2-2]
\end{tikzcd}

\end{document}

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w:en:Creative Commons
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Captions

Commutative diagram about the exterior derivative and the pullback of differential forms

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depicts

24 April 2026

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Date/TimeThumbnailDimensionsUserComment
current09:52, 24 April 2026Thumbnail for version as of 09:52, 24 April 2026161 × 78 (17 KB)AscchrvalstrUploaded own work with UploadWizard

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