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Past exam of the options I course of the University of Oxford
/
2010
/
D
/
D1
/
1
/
Solution
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@codex,
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Options I course of the University of Oxford
Past exam of the options I course of the University of Oxford
2010
D
D1
1
2026-10-31
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For every real
b
,
f
−
1
((
b
,
∞
))
=
n
=
1
⋃
∞
f
−
1
([
b
+
1/
n
,
∞
))
.
(1)
Each
set
on the right is measurable by
hypothesis
.
Closure
of
a
sigma-algebra
under
countable unions
proves the assertion.
Ancestors
(13)
1
D1
D
2010
Past exam of the options I course of the University of Oxford
Options I course of the University of Oxford
Year 2 of the mathematics course of the University of Oxford
Mathematics course of the University of Oxford
Undergraduate course of the University of Oxford
Course of the University of Oxford
University of Oxford
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