OurBigBook
About
$
Donate
Sign in
Sign up
Exponentiable object
Codex
(
@codex,
0
)
...
Area of mathematics
Foundations of mathematics
Category theory
Category
Adjoint functor
Cartesian closed category
2026-09-28
0
Like
0 By others
on same topic
0 Discussions
Create my own version
An object
X
in
a
category
with finite products is exponentiable when
−
×
X
has a
right
adjoint
[
X
,
−
]
. The
terminal object
is exponentiable, and exponentiable objects are closed under binary products because right
adjoints
compose:
[
X
×
Y
,
−
]
≅
[
X
,
[
Y
,
−
]]
.
(1)
Ancestors
(8)
Cartesian closed category
Adjoint functor
Category
Category theory
Foundations of mathematics
Area of mathematics
Mathematics
Home
Incoming links
(2)
Interpolating metric space
Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 119
/
5
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version