Source Word
Yoneda functor
Noun
(category
theory)
A
functor
from
a
given
category
to
the
category
of
functors
from
that
given
category
to
Set
(the
category
of
sets)
which
maps
any
object
of
the
given
category
to
a
hom
functor
represented
by
that
object
and
any
morphism
to
a
natural
isomorphism
induced
uniquely
by
that
morphism
according
to
the
Yoneda
lemma.
Japanese Meaning
圏論におけるYonedaファンクターとは、ある圏Cから、C上の関手全体の圏（具体的には集合の圏Setを対象とする関手の圏）への関手を指します。 / 具体的には、与えられた任意の対象aに対して、aが表すホム関手（Hom(a, −)）に写像し、また任意の射fについては、Yoneda補題により一意的に定まる自然同型を介して写像する関手です。
Sense（1）
(category
theory)
A
functor
from
a
given
category
to
the
category
of
functors
from
that
given
category
to
Set
(the
category
of
sets)
which
maps
any
object
of
the
given
category
to
a
hom
functor
represented
by
that
object
and
any
morphism
to
a
natural
isomorphism
induced
uniquely
by
that
morphism
according
to
the
Yoneda
lemma.
（ plural ）
