Shelah cardinal
In
axiomatic set theory, Shelah cardinals are a kind of large cardinals. A cardinal
is called Shelah 
iff
for every , there exists a 
transitive class
and an 
elementary embedding
with critical point ; and .
A Shelah cardinal has a normal
weakly hyper-Woodin cardinals
below it.
References
- Ernest Schimmerling, Woodin cardinals, Shelah cardinals and the Mitchell-Steel core model, Proceedings of the American Mathematical Society 130/11, pp. 3385-3391, 2002, online
 | This set theory-related article is a stub. You can help Wikipedia by expanding it. |