Cote n° 156-7 · pages 15–107 · 13 commutative diagrams · [Chapitre] VII. Analysis situs (troisième mouture) : notes manuscrites (23-26/06/1986).
Inventory dating : 1986
Édition de démonstration

batch 1 · p. 15 — read it beside the facsimile1 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & & \mathrm{Omb}\, H \arrow[dl, no head] \arrow[dr, no head] & & \\
 & \mathrm{Omb}\, F \arrow[dl, no head] \arrow[dr, no head] & & \mathrm{Omb}\, G \arrow[dl, no head] \arrow[dr, no head] & \\
 \mathrm{Omb}\, F' \arrow[dr, no head] & & \mathrm{Omb}\, L \arrow[dl, no head] \arrow[dr, no head] & & \mathrm{Omb}\, G' \arrow[dl, no head] \\
 & \mathrm{Omb}\, F'_{L} & & \mathrm{Omb}\, G'_{L} &
\end{tikzcd}
batch 1 · p. 15 — read it beside the facsimile2 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & & \widetilde{H} & & \\
 & \widetilde{F} \arrow[ur, hook] & & \widetilde{G} \arrow[ul, hook'] & \\
 & & \widetilde{L} \arrow[ul, hook'] \arrow[ur, hook] & & \widetilde{G}' \arrow[ul] \\
 \widetilde{F}' \arrow[uur] & & & & \\
 & \widetilde{F}'_{L} \arrow[ul, hook'] \arrow[uur] & & \widetilde{G}'_{L} \arrow[uul] \arrow[uur, hook] &
\end{tikzcd}
batch 1 · p. 17 — read it beside the facsimile3 / 13
LaTeX source
\begin{tikzcd}[column sep=small]
 \mathrm{Omb}\, F \arrow[dr, hook] & & \mathrm{Omb}\, G \arrow[dl, hook'] \\
 & \mathrm{Omb}(F) \cap \mathrm{Omb}(G) \arrow[d, hook] & \\
 & \mathrm{Omb}(L) &
\end{tikzcd}
batch 2 · p. 27 — read it beside the facsimile4 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & Z \arrow[r, no head, "\ll" description] & X \\
 & Z' \arrow[u, no head, "\leq" description] \arrow[r, no head, "\ll" description] & X' \arrow[u, no head, "\leq" description] \\
x \arrow[ur, no head, "\ll" description] & &
\end{tikzcd}
batch 2 · p. 29 — read it beside the facsimile5 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
\mathrm{omb}(X) \arrow[dr, no head] & & \mathrm{omb}(Y) \arrow[dl, no head] \\
 & \mathrm{omb}(X) \cap \mathrm{omb}(Y) \arrow[d, no head] & \\
 & \mathrm{omb}(L) &
\end{tikzcd}
batch 2 · p. 30 — read it beside the facsimile6 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & Z & \\
X \arrow[ur, no head, "\leq" description] & & Y \arrow[ul, no head, "\leq" description] \\
 & L \arrow[ul, no head, "\leq" description] \arrow[ur, no head, "\leq" description] &
\end{tikzcd}
batch 2 · p. 31 — read it beside the facsimile7 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
X' \arrow[r, no head, "\leq" description] & X \\
x \arrow[u, no head, "\ll" description] \arrow[r, no head, "\ll" description] & Z \arrow[u, no head, "\leq" description]
\end{tikzcd}
batch 2 · p. 31 — read it beside the facsimile8 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
X' \arrow[r, no head, "\leq" description] & X & \\
S \arrow[u, no head, "\leq" description] \arrow[r, no head, "\leq" description] & Z \arrow[u, no head, "\leq" description] \arrow[r, no head, "\leq" description] & Y \\
x \arrow[u, no head, "\ll" description] & &
\end{tikzcd}
batch 2 · p. 31 — read it beside the facsimile9 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
S \arrow[r, no head, "\leq" description] & Y \\
x \arrow[u, no head, "\ll" description] \arrow[r, no head, "\ll" description] & Y' \arrow[u, no head, "\leq" description]
\end{tikzcd}
batch 2 · p. 34 — read it beside the facsimile10 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & Z \arrow[r, no head, "\ll" description] & X \\
x \arrow[r, no head, "\ll" description] & Z' \arrow[u, no head, "\leq" description] \arrow[r, no head, "\ll" description] & X' \arrow[u, no head, "\leq" description]
\end{tikzcd}
batch 5 · p. 90 — read it beside the facsimile11 / 13
LaTeX source
\begin{tikzcd}
Y' \arrow[r, no head, "\ll" description] & Y \arrow[r, no head, "\overset{\circ}{\ll}" description] \arrow[d, no head, "\geq" description] & X \arrow[d, no head, "\geq" description] \\
 & Y_{\partial X} \arrow[r, no head, "\ll" description] \arrow[d, no head, "\geq" description] & \partial X \\
 & \partial Y &
\end{tikzcd}
batch 6 · p. 102 — read it beside the facsimile12 / 13
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
  & \widetilde{X} \arrow[dl, no head] \arrow[dr, no head] & & \widetilde{Y} \arrow[dl, no head] \arrow[dr, no head] & \\
  \widetilde{X}' \arrow[dr, no head] & & L \arrow[dl, no head] \arrow[dr, no head] & & \widetilde{Y}' \arrow[dl, no head] \\
  & X'_L \arrow[dr, no head] & & Y'_L \arrow[dl, no head] & \\
  & & L' & &
\end{tikzcd}
batch 6 · p. 107 — read it beside the facsimile13 / 13
LaTeX source
\begin{tikzcd}[row sep=small]
  \between\text{-magasins satisfaisant At L1, L2, L3 et At C (spéc.)} \arrow[d, Rightarrow] \\
  \mathrel{|{\circ}|}\text{-magasins satisfaisant } (***) \text{ (compatibilisme)}
\end{tikzcd}