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Yonne
name
Yonner
noun
Yoneda lemma
noun
(category
theory)
Given
a
category
𝒞
with
an
object
A,
let
H
be
a
hom
functor
represented
by
A,
and
let
F
be
any
functor
(not
necessarily
representable)
from
𝒞
to
Sets,
then
there
is
a
natural
isomorphism
between
Nat(H,F),
the
set
of
natural
transformations
from
H
to
F,
and
the
set
F(A).
(Any
natural
transformation
𝛼
from
H
to
F
is
determined
by
what
𝛼_A(
mbox
id_A)
is.)
Yoneda embedding
noun
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