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▹
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▹
Concrete categories
Definition 4.9.8.
Let
u
∈
ℕ
. We define:
Grp
u
:
=
[
Grp
(Hom(
A
,
B
))
A
,
B
∈
Grp
(id
C
)
C
∈
Grp
(∘)
D
,
E
,
F
∈
Grp
]
u
is a/an
u
-small category
Remarks.
The objects of this category are actually isomorphism classes of groups.
References.
https://en.wikipedia.org/wiki/Category_of_groups
https://proofwiki.org/wiki/Definition:Category_of_Groups
https://ncatlab.org/nlab/show/Grp
https://leanprover-community.github.io/mathlib_docs/algebra/category/Group/basic.html#Group