使用 pb-diagram 包

Question

我在使用 pb-diagram 包时遇到了困难。我想要像下面的输出一样。请帮帮我！非常感谢！

Answer 1

只需几分钟即可使用tikz-cd；质量比 with 好得多pb-diagram，语法也更简单。

\documentclass{article}
\usepackage{amsmath,amssymb}
\usepackage{tikz-cd}

\newcommand{\id}{\mathit{id}}

\begin{document}

\begin{tikzcd}
& A\otimes A \arrow[dd,"m"] \\
k\otimes A \arrow[ur,"u\otimes\id"] \arrow[dr,"s"] &&
  A\otimes k \arrow[ul,swap,"\id\otimes u"] \arrow [dl,swap,"s"] \\
& A
\end{tikzcd}

\bigskip

\begin{tikzcd}[column sep=4em,row sep=3em]
\mathbb{K}\otimes C &
  C\otimes C \arrow[l,swap,"\varepsilon_C\otimes\mathbf{1}_C"]
             \arrow[r,"\mathbf{1}_C\otimes\varepsilon_C"] &
  C\otimes\mathbb{K} \\
& C \arrow[ul,swap,"\sim"]
    \arrow[u,"\Delta_C" description]
    \arrow[ur,"\sim"]
\end{tikzcd}

\bigskip

\begin{tikzcd}[column sep=3em,row sep=3em]
C\otimes C\otimes C & C\otimes C \arrow[l,swap,"\Delta\otimes\id"] \\
C\otimes C \arrow[u,"\id\otimes\Delta"] &
  C \arrow[l,"\Delta"] \arrow[u,swap,"\Delta"]
\end{tikzcd}

\bigskip

\begin{tikzcd}
& C\otimes C \arrow[dl,swap,"\varepsilon\otimes\id"]
             \arrow[dr,"\id\otimes\varepsilon"] \\
k\otimes C && C\otimes k \\
& C \arrow[ul,"{-}\otimes 1"]
    \arrow[uu,"\Delta"]
    \arrow[ur,swap,"1\otimes{-}"]
\end{tikzcd}

\end{document}