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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 151
/
1
/
a
/
i
/
Solution
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2021
iii
Paper 151
1
a
i
2026-09-28
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For an
inverse system
of
sets
(
X
j
,
f
ij
)
indexed by
a
directed set
J
, the
inverse limit
is the
set
of compatible
tuples
lim
j
∈
J
X
j
=
{
(
x
j
)
∈
∏
j
∈
J
X
j
:
f
ij
(
x
j
)
=
x
i
whenever
i
≤
j
}
.
(1)
Its projection to
X
j
sends
(
x
i
)
i
to
x
j
.
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a
1
Paper 151
iii
2021
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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