Math 2.0

Concept

Shelah cardinal

Summary

In axiomatic set theory, Shelah cardinals are a kind of large cardinals. A cardinal κ\kappa is called Shelah iff for every f:κ→κf:\kappa\rightarrow\kappa, there exists a transitive class NN and an elementary embedding j:V→Nj:V\rightarrow N with critical point κ\kappa; and Vj(f)(κ)⊂NV_{j(f)(\kappa )}\subset N.

Further reading

  1. Wikipedia, page 529392, revision 1211749340, Shelah cardinal. adopted
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