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Hausdorff formula for cardinal exponentiation
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Mathematics
Area of mathematics
Foundations of mathematics
Set theory
Cardinal number
Cardinal arithmetic
Created
2026-09-24
Updated
2026-09-24
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For infinite cardinals
κ
,
λ
, Hausdorff'
s
formula
is
(
κ
+
)
λ
=
κ
λ
⋅
κ
+
=
max
{
κ
λ
,
κ
+
}
.
(1)
Ancestors
(7)
Cardinal arithmetic
Cardinal number
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 128
/
3
/
a
/
i
/
Solution
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