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Circulation and the Fast-Growing Hierarchy

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Circulation and the Fast-Growing Hierarchy
JmsNxn Offline
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06/05/2022, 11:38 PM
(06/04/2022, 03:17 AM)Catullus Wrote: For an ordinal alpha greater than one, f[Image: svg.image?\alpha](x) in the Fast-growing hierarchy is greater than or equal to 2 ([Image: svg.image?\alpha]+1)-ated to the x. So should not the super function of 2 circulated to the x be less than f[Image: svg.image?\omega](x)? But on the Googology Wiki page for circulation says that "Using only nonnegative integers, there are only four cases where circulation is defined:".

Could you post a link to what a circulation is? Sorry, I'm unaware of that. Fast growing hierarchy's usually don't get much attention on this forum, it might be better to post it on a forum more geared towards that. I'm interested in what exactly this means though.

Regards, James
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RE: Circulation and the Fast-Growing Hierarchy - by JmsNxn - 06/05/2022, 11:38 PM

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