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9ac461b1
Commit
9ac461b1
authored
Mar 11, 2016
by
Ralf Jung
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docs: locally non-expansive/contractive also applies to bifunctors
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docs/algebra.tex
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9ac461b1
...
@@ -37,8 +37,7 @@
...
@@ -37,8 +37,7 @@
Note that
$
\COFEs
$
is cartesian closed.
Note that
$
\COFEs
$
is cartesian closed.
\begin{defn}
\begin{defn}
A functor
$
F :
\COFEs
\to
\COFEs
$
is called
\emph
{
locally non-expansive
}
if its actions
$
F
_
1
$
on arrows is itself a non-expansive map.
A (bi)functor
$
F :
\COFEs
\to
\COFEs
$
is called
\emph
{
locally non-expansive
}
if its action
$
F
_
1
$
on arrows is itself a non-expansive map.
\ralf
{
We need bifunctors.
}
Similarly,
$
F
$
is called
\emph
{
locally contractive
}
if
$
F
_
1
$
is a contractive map.
Similarly,
$
F
$
is called
\emph
{
locally contractive
}
if
$
F
_
1
$
is a contractive map.
\end{defn}
\end{defn}
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