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Choice function
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Foundations of mathematics
Set theory
Axiom of choice
Created
2026-09-24
Updated
2026-10-07
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A
choice function
on
a
family
A
of nonempty
sets
is
a
function
f
with
f
(
A
)
∈
A
for every
A
∈
A
.
Ancestors
(6)
Axiom of choice
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
Home
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(11)
Basic Fraenkel permutation model
Countable product compactness implies countable choice
Past exam of the mathematics course of the University of Cambridge
/
2002
/
iii
/
Paper 21
/
2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
/
iii
/
Paper 19
/
2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
/
iii
/
Paper 19
/
3
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2004
/
iii
/
Paper 24
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 27
/
2
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2010
/
iii
/
Paper 20
/
5
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 158
/
1
/
ii
/
Solution
Proof outline of Zorn's lemma
Restricted axiom of choice
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