Категории и функторы. Ершов А.В. - 50 стр.

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M
α
M
//
f
S(M)
e
f
{{
w
w
w
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w
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A
S(M)
F(M)
[m], m M
[m + n] [m] [n] F(M) m + n
M α
M
(m) [m]
(S(M), α
M
)
(X, d)
((
¯
X,
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d), i
X
)
(
¯
X,
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d)
i
X
: (X, d) (
¯
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¯
d)
(Y, ρ)
φ: (X, d) (Y, ρ)
ψ : (
¯
X,
¯
d) (Y, ρ),
X
i
X
//
φ
¯
X
ψ
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~
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Y
φ: (X, d) (Y, ρ)
ρ(φ(x
1
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2
)) = d(x
1
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2
) x
1
, x
2
X