Tall cardinal

In mathematics, a tall cardinal is a large cardinal κ that is θ-tall for all ordinals θ, where a cardinal is called θ-tall if there is an elementary embedding j : V  M with critical point κ such that j(κ) > θ and Mκ  M.

Tall cardinals are equiconsistent with strong cardinals.

References

This article is issued from Wikipedia - version of the 9/25/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.