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如何画交换图

调整标签与箭头的间距 {yshift=1mm} 调整行间距和列间距 两种经典的三 … 继续阅读 →

调整标签与箭头的间距 {yshift=1mm}






\begin{tikzcd}
FX \arrow[r, "\tiny\begin{pmatrix}
\mathrm{Id}_{FX}\\\mathrm{Id}_{FX}
\end{pmatrix}" {yshift=1mm}] \arrow[d, equal] & FX \oplus FX \arrow[r] \arrow[d, "{(Fe_1, Fe_2)}"] & FY \arrow[d, equal] \\
FX \arrow[r] & F(X \oplus X) \arrow[r] & FY
\end{tikzcd}

调整行间距和列间距

\begin{tikzcd}[column sep=1.5cm, row sep=1cm]
\end{tikzcd}

两种经典的三角形交换图:直角式和钝角式



\begin{tikzcd}
X_i \arrow[r, "e_i"] \arrow[rd, "f_i"'] & X_1 \oplus X_2 \arrow[d, "h"] \\
                                         & Y
\end{tikzcd}





\[
\begin{tikzcd}
X_i \arrow[rr, "e_i"] \arrow[dr, "f_i"'] & & X_1 \oplus X_2 \arrow[dl, "h"] \\
& Y &
\end{tikzcd}
\]

单射和满射

\arrow[ur,hookrightarrow, "m"']
\arrow[dr, two heads, "f"']

虚线

\arrow[d, "\alpha_n", dashed]

缩短箭头

\arrow[r,  shorten >=5pt]
\arrow[r,  shorten >=7pt] &\!\!\!\!\!

有些标签必须加花括号

\arrow[r, "{(x^r,M)}"] 

报错要么是缺少宏包,要么是标签没加花括号

让人疑惑的代码

\begin{tikzcd}[column sep=.6cm]
      &  & \mathrm{Ker}\pi  \arrow[dr,hook] &          \\
  \dotsb \arrow[r]  & P_1 \arrow[ur, two heads] \arrow[rr, "d_0"] &    & P_0  \arrow[r, "\pi"] & M \arrow[r] & 0
\end{tikzcd}

drr

\begin{tikzcd}
    X \arrow[d, "f"'] \arrow[dr, dashed, "F"]  \arrow[drr, dashed, bend left, "G"'] &   &   \\
    Y   \arrow[dr, dashed, "F"]   \arrow[drr, dashed, bend right=60, "G"'] & FX \arrow[r, "\eta_X"] \arrow[d, "Ff"] & GX \arrow[d, "Gf"] \\
       & FY \arrow[r, "\eta_Y"'] & GY
\end{tikzcd}

反向双箭头

\begin{tikzcd}
    0 \arrow[r] & P_d \arrow[d, "\alpha_d"', shift right]\arrow[r,"t_d"]  & P_{d-1} \arrow[d, "\alpha_t"', shift right]  \arrow[r] & \cdots \arrow[r] &P_0 \arrow[d, "\alpha_0"', shift right] \arrow[r]&0 \\
    0 \arrow[r] & 0 \arrow[u, "\beta_d"',shift right]    \arrow[r]        & Q_{d-1} \arrow[u, "\beta_t"',shift right]    \arrow[r] & \cdots \arrow[r] &Q_0 \arrow[u, "\beta_0"',shift right]   \arrow[r] &0  
\end{tikzcd}

标签微调位置

\arrow[dr, dashed, "{\tilde{f}}"{near start, yshift=-1mm, xshift=1mm} ]