Nothing OCF: Difference between revisions
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Nothing OCF is a weak [[Ordinal collapsing function|OCF]], defined by CatIsFluffy. It is similar to many other OCFs in definition, but omits addition. Therefore, the growth rate is much, much slower. It is believed to correspond to a weak version of [[Extended Buchholz's function]], also defined by omitting addition, and that it catches up to the ordinary version of EBOCF by [[Extended Buchholz ordinal|EBO]]. However, no proof of either of these claims has been given and they remain open questions. |
Nothing OCF is a weak [[Ordinal collapsing function|OCF]], defined by CatIsFluffy. It is similar to many other OCFs in definition, but omits addition. Therefore, the growth rate is much, much slower. It is believed to correspond to a weak version of [[Extended Buchholz's function]], also defined by omitting addition, and that it catches up to the ordinary version of EBOCF by [[Extended Buchholz ordinal|EBO]]. However, no proof of either of these claims has been given and they remain open questions. |