答案1
除了你必须恢复行的顺序、调整表达式和箭头之外,没有任何“区别”。
\documentclass{article}
\usepackage{amsmath}
\usepackage{tikz-cd}
\begin{document}
\[
\begin{tikzcd}[row sep=3em]
& H_{\bullet}(Y)
& \\
& H_{\bullet}(\Sigma X\vee \Sigma X)
\arrow[u,"(f\vee g)_*"]
& \\
H_{\bullet}(\Sigma X)
\arrow[uur,out=80,in=190,"f_*"]
\arrow[r]
\arrow[ur,"i_{1*}"]
&
H_{\bullet}(\Sigma X)\times H_{\bullet}(\Sigma X)
\arrow[u,"i_{1*}\oplus i_{2*}"]
&
H_{\bullet}(\Sigma X)
\arrow[l]
\arrow[uul,out=100,in=-10,"g_*"']
\arrow[ul,"i_{2*}"']
\\
\end{tikzcd}
\]
\[
\begin{tikzcd}[row sep=3em]
H_{\bullet}(\Sigma X)
&
\arrow[l]
H_{\bullet}(\Sigma X)\times H_{\bullet}(\Sigma X)
\arrow[r]
&
H_{\bullet}(\Sigma X) \\
& H_{\bullet}(\Sigma X\vee \Sigma X)
\arrow[ul,"q_{1*}"]
\arrow[u,"q_{1*}\times q_{2*}"]
\arrow[ur,"q_{2*}"']
& \\
& H_{\bullet}(\Sigma X)
\arrow[uul,out=170,in=-80,"q_{1*}\circ c_*"]
\arrow[u,"c_*"]
\arrow[uur,out=10,in=-100,"q_{2*}\circ c_*"'] & \\
\end{tikzcd}
\]
\end{document}