User blog comment:MachineGunSuper/Continuation to the listaments/@comment-80.98.179.160-20180110124506/@comment-80.98.179.160-20180125170438

(Omega^x)th function: Listt!=Listt! with Listt!<1n>=Listt!.

This will of course have a supremum of...

Listt!<ωn> is the (omega^omega)th function. Listt!<ωn>=Listt!. We continue with 1+ω->n+1, 2+ω->n+2,..., ω+x as recursion of ω+x-1, ω2->ω+n,...