複雜伴隨函子圖

Question

如何製作如下圖所示的兩張圖表？預先感謝您的幫忙。

Answer 1

歡迎！這樣tikz-cd就相當簡單了。

\documentclass{article}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
 A \arrow[r,shift left=0.75ex] \arrow[r,draw=none,"\sim" marking]& 
    B \arrow[l,shift left=0.75ex]\arrow[r,shift left=0.75ex]
    \arrow[r,,draw=none,"\scriptstyle\perp" marking]& 
    C \arrow[l,shift left=0.75ex]\\
 C \arrow[r,"\scriptstyle\perp" {inner sep=0.1ex,rotate=180},
    "\scriptstyle\perp"' {inner sep=0.1ex,rotate=180}] \arrow[r,shift left=1.5ex] & 
    D \arrow[l,shift left=1.5ex] & \\
\end{tikzcd}
\end{document}

或使用較小的\perp符號使箭頭彼此靠近。

\documentclass{article}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
 A \arrow[r,shift left=0.4ex] \arrow[r,draw=none,"\scriptstyle\sim" marking]& 
    B \arrow[l,shift left=0.75ex]\arrow[r,shift left=0.4ex]
    \arrow[r,draw=none,"\scriptscriptstyle\perp" marking]& 
    C \arrow[l,shift left=0.75ex]\\
 C \arrow[r,"\scriptscriptstyle\perp" {inner sep=0.1ex,rotate=180},
    "\scriptscriptstyle\perp"' {inner sep=0.1ex,rotate=180}] 
    \arrow[r,shift left=1.1ex] & 
    D \arrow[l,shift left=1.1ex] & \\
\end{tikzcd}
\end{document}

或用彎曲的箭頭。

\documentclass{article}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzcd}
 A \arrow[r,bend left=25,shift left=0.2ex] \arrow[r,draw=none,"\sim" marking]& 
    B \arrow[l,bend left=25,shift left=0.2ex]\arrow[r,bend left=25,shift left=0.2ex]
    \arrow[r,draw=none,"\perp" marking]& 
    C \arrow[l,bend left=25,shift left=0.2ex]\\
 C \arrow[r,"\perp" {inner sep=0.3ex,rotate=180},
    "\perp"' {inner sep=0.3ex,rotate=180}] 
    \arrow[r,bend left=25,shift left=0.2ex] & 
    D \arrow[l,bend left=25,shift left=0.2ex] & \\
\end{tikzcd}
\end{document}