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inaccessible cardinal (Definition)

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

A regular limit cardinal $ \kappa$ is called weakly inaccessible, and a regular strong limit cardinal is called inaccessible.



"inaccessible cardinal" is owned by Henry.
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See Also: cardinal number

Also defines:  inaccessible, weakly inaccessible, strongly inaccessible, strong limit
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Cross-references: regular, strong limit cardinal, limit cardinal
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This is version 4 of inaccessible cardinal, born on 2002-07-27, modified 2007-06-17.
Object id is 3221, canonical name is InaccessibleCardinals.
Accessed 7422 times total.

Classification:
AMS MSC: 03E55 (Mathematical logic and foundations :: Set theory :: Large cardinals)
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