Cote n° 74 · pages 3–121 · 17 commutative diagrams · Complexes cubiques : notes manuscrites (s.d.).
Inventory dating : [à partir de 1976]
Édition de démonstration

batch 1 · p. 3 — read it beside the facsimile1 / 17
LaTeX source
\begin{tikzcd}[column sep=large, row sep=large]
G_k \arrow[dr, "\tau_{i,k}(x_j)"'] & & G_j \arrow[ll, "\tau_{k,j}(x_i)"'] \\
& G_i \arrow[ur, "\tau_{j,i}(x_k)"'] &
\end{tikzcd}
batch 1 · p. 8 — read it beside the facsimile2 / 17
LaTeX source
\begin{tikzcd}[column sep=large, row sep=large]
E_1 \arrow[r, "\alpha_3(a_3)"] & E_2 \arrow[dl, "\alpha_1(a_1)"] \\
E_3 \arrow[u, "\alpha_2(a_2)"] &
\end{tikzcd}
batch 1 · p. 13 — read it beside the facsimile3 / 17
LaTeX source
\begin{tikzcd}[column sep=large, row sep=large]
& E_1 \arrow[dl, "f_3"'] & \\
E_2 \arrow[rr, "f_1"] & & E_3 \arrow[ul, "f_2"'] \arrow[ll, bend left=30, "g_1"]
\end{tikzcd}
batch 2 · p. 27 — read it beside the facsimile4 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
r_1 \arrow[r, no head] & r_2 \arrow[r, no head] & r_3 \arrow[r, no head] \arrow[d, no head] & r_4 \arrow[r, no head] & r_5\\
 & & r_6 & &
\end{tikzcd}
batch 2 · p. 32 — read it beside the facsimile5 / 17
LaTeX source
\begin{tikzcd}
V^\omega \arrow[r, "\varphi_i"] \arrow[dr, "\psi_i"'] & \Gamma\\
 & \widetilde{\Gamma} \arrow[u, "u"']
\end{tikzcd}
batch 3 · p. 47 — read it beside the facsimile6 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & \tau \arrow[rr, no head] & & \tau'' \arrow[dr, no head] & \\
\tau' \arrow[ur, no head] & & & & \overline{\tau'} \arrow[dl, no head] \\
 & \overline{\tau''} \arrow[ul, no head] \arrow[rr, no head] & & \overline{\tau} &
\end{tikzcd}
batch 3 · p. 52 — read it beside the facsimile7 / 17
LaTeX source
\begin{tikzcd}[row sep=small]
I \arrow[d, "p"] & I_\alpha \\
\Lambda & \alpha
\end{tikzcd}
batch 3 · p. 55 — read it beside the facsimile8 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & \tau_{i\alpha} \arrow[r, no head] & \tau_{j\beta} \arrow[dr, no head] & \\
\tau_{k\beta} \arrow[ur, no head] & & & \tau_{k\alpha} \arrow[dl, no head] \\
 & \tau_{j\alpha} \arrow[ul, no head] \arrow[r, no head] & \tau_{i\beta} &
\end{tikzcd}
batch 3 · p. 60 — read it beside the facsimile9 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & \mathrm{I} \arrow[r, no head] & \mathrm{II} \arrow[dr, no head] & \\
\mathrm{II} \arrow[ur, no head] & & & \mathrm{II} \arrow[dl, no head] \\
 & \mathrm{II} \arrow[ul, no head] \arrow[r, no head] & \mathrm{I} &
\end{tikzcd}
batch 4 · p. 72 — read it beside the facsimile10 / 17
LaTeX source
\begin{tikzcd}
\mathrm{Tria}' \arrow[d, "3"'] & \mathrm{tria} \simeq \mathrm{hex} \arrow[l, "2"'] \arrow[d, "3"] \\
\mathrm{Hex} \arrow[d, "3"'] & \mathrm{Trtria} \arrow[l, "2"] \\
\mathrm{triHex} &
\end{tikzcd}
batch 4 · p. 78 — read it beside the facsimile11 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small, nodes={font=\scriptsize}]
C_s \arrow[d, "2"'] & & C_r \arrow[ll, "2"'] \arrow[dl, "2"] \arrow[d, "2"] \\
C_d \arrow[dd, "2"'] & C_{p'} \arrow[l, "2"'] \arrow[d, "2"] \arrow[ddr, "2"] & C_{s^*} \arrow[dd, "2"] \\
 & C_\omega \arrow[dl, "2"'] & \\
e & & C_{d^*} \arrow[ll, "2"]
\end{tikzcd}
batch 5 · p. 87 — read it beside the facsimile12 / 17
LaTeX source
\begin{tikzcd}
  (ba') \arrow[r, no head] \arrow[d, no head] & (bb') \arrow[d, no head] \\
  (aa') \arrow[r, no head] & (ab')
\end{tikzcd}
batch 5 · p. 95 — read it beside the facsimile13 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
  \widetilde{E}_{a} & & \widetilde{E}_{b} \\
  & \widetilde{T} \arrow[ul, "\widetilde{\varphi}_{a}"] \arrow[ur, "\widetilde{\varphi}_{b}"'] \arrow[d, "\widetilde{\varphi}_{c}"] & \\
  & \widetilde{E}_{c} &
\end{tikzcd}
batch 6 · p. 103 — read it beside the facsimile14 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
E_a & & E_c \\
 & \Gamma \arrow[ul, "\varphi_a"] \arrow[ur, "\varphi_c"'] \arrow[d, "\varphi_b"] & \\
 & E_b &
\end{tikzcd}
batch 6 · p. 116 — read it beside the facsimile15 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & \mathcal{G}_a \arrow[d, hook] & \\
\mathcal{G}_b \arrow[r, hook] & \mathcal{G} & \mathcal{G}_c \arrow[l, hook']
\end{tikzcd}
batch 6 · p. 116 — read it beside the facsimile16 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small]
 & \widetilde{E}_a\simeq\widetilde{E} & \\
 & \widetilde{\Gamma} \arrow[u] \arrow[dl] \arrow[dr] & \\
\widetilde{E}\simeq\widetilde{E}_b & & \widetilde{E}_c\simeq\widetilde{E}
\end{tikzcd}
batch 7 · p. 121 — read it beside the facsimile17 / 17
LaTeX source
\begin{tikzcd}[column sep=small, row sep=small, nodes={font=\scriptsize}]
 & 1 \arrow[d] & \\
V \arrow[r, "\varphi_i"] \arrow[dr, dashed, "\psi_i"'] & \Gamma \arrow[r, "p_i"] & E_i/2 = V \\
 & \widetilde{\Gamma} \arrow[u] \arrow[r, "\tilde{p}_i"] & \widetilde{E}_i \arrow[u] \\
 & \{\pm 1\} \arrow[u] & \pm 1 \arrow[u] \arrow[ul]
\end{tikzcd}