# inaccessible cardinal

A limit cardinal $\kappa$ is a strong limit cardinal if for any $\lambda<\kappa$, $2^{\lambda}<\kappa$.

A regular (http://planetmath.org/cofinality) limit cardinal $\kappa$ is called weakly inaccessible, and a regular strong limit cardinal is called inaccessible.

Title inaccessible cardinal InaccessibleCardinal 2013-03-22 12:52:46 2013-03-22 12:52:46 Henry (455) Henry (455) 7 Henry (455) Definition msc 03E55 CardinalNumber inaccessible weakly inaccessible strongly inaccessible strong limit