Last Updated：2025/12/05
Sentence
ヨネダ関手は、与えられた圏 C の任意の対象 X を表現可能なホム関手 Hom_C(-, X) に対応させ、任意の射をヨネダ補題によってその射から一意に誘導される自然変換（自然同型）に対応させる関手である。
Quizzes for review
The Yoneda functor sends each object X in a category C to the representable hom functor Hom_C(-, X) and sends each morphism to the natural transformation uniquely induced by that morphism according to the Yoneda lemma.
See correct answer
The Yoneda functor sends each object X in a category C to the representable hom functor Hom_C(-, X) and sends each morphism to the natural transformation uniquely induced by that morphism according to the Yoneda lemma.
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Related words
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。
Related Words
English - English
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