Cote n° 111 · pages 1–13
· 11 displayed formulas · Tapis de Quillen [notes du 10/09/1968] : copies de tapuscrit annoté (1968).
Inventory dating : 1968
Édition de démonstration
\[S : (\mathrm{Cat}) \longrightarrow (\mathrm{Ssimpl}) .\]
LaTeX source
\[
S : (\mathrm{Cat}) \longrightarrow (\mathrm{Ssimpl}) .
\]\[H^{i}(\widetilde{C}', F') \longrightarrow H^{i}(\widetilde{C},
\widetilde{F}^{*}(F'))\]
LaTeX source
\[
H^{i}(\widetilde{C}', F') \longrightarrow H^{i}(\widetilde{C},
\widetilde{F}^{*}(F'))
\]\[T : (\mathrm{Ssimpl}) \longrightarrow (\mathrm{Cat}) ,\]
LaTeX source
\[
T : (\mathrm{Ssimpl}) \longrightarrow (\mathrm{Cat}) ,
\]\[S' : (\mathrm{Cat})' \to (\mathrm{Ssimpl})' \quad\text{et}\quad T' :
(\mathrm{Ssimpl})' \to (\mathrm{Cat})'\]
LaTeX source
\[
S' : (\mathrm{Cat})' \to (\mathrm{Ssimpl})' \quad\text{et}\quad T' :
(\mathrm{Ssimpl})' \to (\mathrm{Cat})'
\]\[\begin{array}{cccc}
X_{00} & X_{01} & \cdots & X_{0n} \\
X_{10} & X_{11} & \cdots & X_{1n} \\
\vdots & & & \vdots
\end{array}\]
LaTeX source
\[
\begin{array}{cccc}
X_{00} & X_{01} & \cdots & X_{0n} \\
X_{10} & X_{11} & \cdots & X_{1n} \\
\vdots & & & \vdots
\end{array}
\]\[0 \longleftarrow C_{0} \longleftarrow C_{1} \longleftarrow 0 .\]
LaTeX source
\[
0 \longleftarrow C_{0} \longleftarrow C_{1} \longleftarrow 0 .
\]\[\mathrm{Hom}_{\mathbf{B}}(X, Y) = B(X \times Y) .\]
LaTeX source
\[
\mathrm{Hom}_{\mathbf{B}}(X, Y) = B(X \times Y) .
\]\[B(X \times Y) \longrightarrow \mathrm{Hom}(X', Y') . \tag{$*$}\]
LaTeX source
\[
B(X \times Y) \longrightarrow \mathrm{Hom}(X', Y') . \tag{$*$}
\]\[X' \xrightarrow{F'^{\bullet}(p)} Z' \xrightarrow{F'_{\cdot}(q)} Y' .\]
LaTeX source
\[
X' \xrightarrow{F'^{\bullet}(p)} Z' \xrightarrow{F'_{\cdot}(q)} Y' .
\]\[\overline{T}' \xrightarrow{\alpha_{i}} Z'_{i}
\xrightarrow{\alpha_{i*}} \overline{T}'\]
LaTeX source
\[
\overline{T}' \xrightarrow{\alpha_{i}} Z'_{i}
\xrightarrow{\alpha_{i*}} \overline{T}'
\]\[H^{\bullet}(X) \longrightarrow B_{\cdot}(X),\]
LaTeX source
\[
H^{\bullet}(X) \longrightarrow B_{\cdot}(X),
\]