Last Updated
：2025/11/24
adjunction
Noun
countable
uncountable
Japanese Meaning
何かを結合する行為、または結合されたもの / （法律）個人の所有財産が他者の所有財産に加わること、または統合される状態
Sense（3）
(category
theory)
Given
a
pair
of
categories
𝒞
and
𝒟:
an
anti-parallel
pair
of
functors
F:𝒞→𝒟
and
G:𝒟→𝒞
and
a
natural
transformation
𝜂:
mbox
id_C→GF
called
“unit”
such
that
for
any
object
A∈𝒞,
for
any
object
B∈𝒟,
and
for
any
morphism
f:A→GB,
there
is
a
unique
morphism
g:FA→B
such
that
Gg∘𝜂_A=f.
(Note:
there
is
another
natural
transformation
called
“counit”
as
well
but
its
existence
may
be
derived
by
theorem.)
The
pair
of
functors
express
a
similarity
between
the
pair
of
categories
which
is
weaker
than
that
of
an
equivalence
of
categories.
（ plural ）
Quizzes for review
The act of joining; the thing joined or added. / (law) The joining of personal property owned by one to that owned by another.
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See correct answer
adjunction
The adjunction of the new wing to the historic building was carried out with meticulous planning to preserve its facade.
See correct answer
The adjunction of the new wing to the historic building was carried out with meticulous planning to preserve its facade.
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