Iterable cardinal
In mathematics, an iterable cardinal is a type of large cardinal introduced by Gitman (2011) and studied by Gitman and Welch (2011). Gitman defined a cardinal κ to be α-iterable if every subset of κ is contained in a weak κ-model M for which there exists an M-ultrafilter on κ allowing an iteration of length α.
References
- Gitman, Victoria (2011), "Ramsey-like cardinals I", J. Symbolic Logic, 76 (2): 519–540, doi:10.2178/jsl/1305810762, MR 2830435
- Gitman, Victoria; Welch, P. D. (2011), "Ramsey-like cardinals II", J. Symbolic Logic, 76 (2): 541–560, doi:10.2178/jsl/1305810763, MR 2830435
External links
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