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Critical point of an elementary embedding
(
crit
(
j
)
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Foundations of mathematics
Set theory
Elementary embedding
Created
2026-09-24
Updated
2026-10-14
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If
κ
=
crit
(
j
)
, then
j
fixes every member of
V
κ
and every
ordinal
below
κ
, while
j
(
κ
)
>
κ
.
Ancestors
(6)
Elementary embedding
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
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(9)
One-strong cardinal
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
/
2005
/
iii
/
Paper 27
/
6
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2007
/
iii
/
Paper 26
/
7
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 116
/
1
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 116
/
2
/
e
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 116
/
1
/
b
/
Solution
Reflection below a cardinal
Supercompact cardinal
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