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Algebra of Programming summary
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Philip Kaluđerčić
Algebra of Programming summary
Commits
72f70442
Commit
72f70442
authored
1 year ago
by
Philip Kaluđerčić
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Fix typos in the definition of a cone
parent
95cab1f3
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constructions.tex
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-3
4 additions, 3 deletions
constructions.tex
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constructions.tex
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72f70442
...
...
@@ -13,10 +13,11 @@
\begin{definition}
\label
{
def:diagram
}
\label
{
def:cone
}
\label
{
def:shape
}
\label
{
def:apex
}
A
\emph
{
diagram
}
is a
\de
{
functor
}
\(
F :
\map
{
\J
}{
\C
}\)
maps a
\emph
{
shape
}
(or ``scheme'')
\(
\J
\)
into
\(
\C
\)
. For a
\emph
{
cone
}
\(
\left
(
C, f
_
j :
\map
{
C
}{
F
(
j
)
}
\right
)
_{
j
\in
\Ob
{
\J
}}\)
(or a
\(
\left
(
C,
(
f
_
j :
\map
{
C
}{
F
(
j
)
}
)
_{
j
\in
\Ob
{
\J
}}
\
right
)
\
)
(or a
\defn
{
nattran
}{
natural transformation
}
from a
\defn
{
constfunctor
}{
constant functor
}
to the
\emph
{
apex
}
\(
C
\)
) and
any
\(
u :
\map
{
j
}{
j'
}\)
in
\(
\J
\)
,
\(
f
_
j
=
F
(
u
)
\circ
f
_
j
\)
holds.
\defn
{
constfunctor
}{
constant functor
}
of the
\emph
{
apex
}
\(
C
\)
to
the diagram) and any
\(
u :
\map
{
j
}{
j'
}\)
in
\(
\J
\)
,
\(
f
_{
j'
}
=
F
(
u
)
\circ
f
_
j
\)
holds.
\end{definition}
\begin{definition}
\label
{
def:limit
}
...
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