User blog comment:Ikosarakt1/Extensions of Catching function/@comment-11227630-20131120103731/@comment-5150073-20131120132256

Consider the hierarchy \(F_{\alpha}(n) = f_{C(\alpha,n)}(n)\). Then \(C(\omega,\alpha)\) is \(1+\alpha\)-th catching ordinal of SGH and F-hierarchy.