In mathematics, a remarkable cardinal is a certain kind of large cardinal number.
A cardinal κ is called remarkable if for all regular cardinals θ > κ, there exist π, M, λ, σ, N and ρ such that Equivalently,
λ > κ
j ( crit ( j ) ) = κ
Although the definition is similar to one of the definitions of supercompact cardinals, the elementary embedding here only has to exist in
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