No Bound for the First Fixed Point
نویسنده
چکیده
Our aim is to show that it is impossible to find a bound for the power of the first fixed point of the aleph function. 0 Introduction אα is called a fixed point of the א-function if אα = α. It is called the first fixed point if α is the least ordinal such that אα = α. More constructive, the first repeat point of the א-function is the limit of the following sequence א0,אא0 ,אאא0 ,אאאא0 , . . . The following are corner stones results of cardinal arithmetic: Galvin-Hajnal [Gal-Haj]: Suppose that δ < אδ and cfδ > א0. If ∀μ < אδ(2 < אδ) then 2אδ < א(2|δ|)+ .
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