Commit ccfd5294 authored by Leonard Guetta's avatar Leonard Guetta
Browse files

edited some typos. Should look at log -2

parent 439a60a7
......@@ -206,7 +206,7 @@ we shall use in the sequel.
\end{notation}
\begin{definition}
An \emph{op\nbd{}prederivator} is a (strict) $2$\nbd{}functor
\[\sD : \CCat^{op} \to \CCAT.\]
\[\sD : \CCat^{\op} \to \CCAT.\]
More explicitly, an op\nbd{}prederivator consists of the data of:
\begin{itemize}[label=-]
\item a big category $\sD(A)$ for every small category $A$,
......@@ -271,7 +271,7 @@ we shall use in the sequel.
transformations between them. The correspondence $A \mapsto \C(A)$ is
$2$\nbd{}functorial in an obvious sense and thus defines an op\nbd{}prederivator
\begin{align*}
\C : \CCat^{op} &\to \CCAT \\
\C : \CCat^{\op} &\to \CCAT \\
A &\mapsto \C(A)
\end{align*}
which we call the op\nbd{}prederivator \emph{represented by $\C$}. For $u : A \to
......@@ -322,7 +322,7 @@ We now turn to the most important way of obtaining op\nbd{}prederivators.
\]
Altogether, this defines an op\nbd{}prederivator
\begin{align*}
\Ho^{\W}(\C) : \CCat^{op} &\to \CCAT\\
\Ho^{\W}(\C) : \CCat^{\op} &\to \CCAT\\
A &\mapsto \ho(\C(A)),
\end{align*}
which we call the \emph{homotopy op\nbd{}prederivator of $(\C,\W)$}. When there is
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