Категории и функторы. Ершов А.В. - 82 стр.

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СГУ им. Чернышевского | Саратов

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h · (g · f)
(h·g)·f
c
y
c
z
H(s, t) =
f(
4s
t+1
), 0 ≤ s ≤
t+1
4
g(4s − t − 1)),
t+1
4
≤ s ≤
t+2
4
h(
4s−t−2
2−t
),
t+2
4
≤ s ≤ 1
[f][c
x
] = [f], [c
y
][f] = [f]
f ·c
x
≃ f, c
y
·f ≃ f
A
A
A
A
A
f
c
x
f
c
x
c
y
f
f c
y
c
x
c
y
H(s, t) =
f(
2s
t+1
), 0 ≤ s ≤
t+1
2
y,
t+1
2
≤ s ≤ 1
[f
−1
· f] = [c
x
] [f · f
−1
] = [c
y
].
······························
f
t
c
f(t)
f
−1
t
A
A
A
A
A
A
A
A
A
f f
−1
c
x
c
x
c
x
f
t
= f|
[0, t]
f
−1
t
= f
−1
|
[1−t, 1]
.
H(s, t) =
f(2s), 0 ≤ s ≤ t/2
f(t), t/2 ≤ s ≤ 1 − t/2
f(2 − 2s), 1 − t/2 ≤ s ≤ 1.

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