Fractional tetration method
#2
Your very first assumption seems flawed. I believe it was prooven inconsistent years ago. I don't remember the prof nor the thread.
Anyways you should check if your definition \( ^{\frac{1}{n}}b:={\rm sqrt}_n (b)\) is coherent with the law \( ^{q+1}b =\exp_b(^{q}b) \) for each \(q\) rational number..

I have the feeling that you will find a contraddiction somwhere.

Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)

\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)
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Messages In This Thread
Fractional tetration method - by Koha - 03/10/2025, 08:14 PM
RE: Fractional tetration method - by MphLee - 03/23/2025, 11:49 PM
RE: Fractional tetration method - by Pentalogue - 06/05/2025, 01:40 AM

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