Cote n° 129 · pages 80–105
· 5 diagrammes commutatifs · Notes séminaire Montréal (Delale, Labute, Hakim, Messing) : copies de tapuscrits annotés (s.d.), notes manuscrites (s.d.).
Datation de l’inventaire : [1970]
Édition de démonstration
LaTeX source
\begin{tikzcd}
\underline{W}_n \arrow[r, "T"] & \underline{W}_{n+1} \\
\underline{W}_n \arrow[u, "F"] \arrow[r, "r"] & \underline{W}_{n+1} \arrow[u, "\mathrm{id}"']
\end{tikzcd}LaTeX source
\begin{tikzcd}
\underline{W}_n \arrow[r, "T"] \arrow[d, "F^{n-1}"'] & \underline{W}_{n+1} \arrow[d, "F^{n}"] \\
\underline{W}_n \arrow[r, "p"] & \underline{W}_{n+1}
\end{tikzcd}LaTeX source
\begin{tikzcd}
0 \arrow[r] & G'_2 \arrow[r, hook] \arrow[d, "\alpha'"] & G_2 \arrow[r] \arrow[d, "\alpha"] & G''_2 \arrow[r] \arrow[d, "\alpha''"] & 0 \\
0 \arrow[r] & G'_1 \arrow[r, hook] & G_1 \arrow[r] & G''_1 \arrow[r] & 0
\end{tikzcd}LaTeX source
\begin{tikzcd}
G'_2 \arrow[r, hook] \arrow[d, no head] & G_2 \arrow[d] \\
G'_1 \arrow[r, hook] & G_1
\end{tikzcd}LaTeX source
\begin{tikzcd}[column sep=small]
0 \arrow[r] & \mathrm{Ker}\, \alpha'' \arrow[r] & G'_2/G'_1 \arrow[r] & G_2/G_1 \arrow[r] & G''_2/\mathrm{Im}\, G''_1 \arrow[r] & 0
\end{tikzcd}