07/21/2022, 11:39 AM
How the previous rank' omega constant pops out in this forumla?
Can be this extended to
Where the \(\Psi_{n,\alpha}\) is the Schroeder of \(\alpha \uparrow^n-\).
Quote:\(\alpha \uparrow^2 z = \Psi_\alpha^{-1}\left(\Psi_\alpha(1) (\log(\alpha)\omega_1)^z\right)\\
\)
Can be this extended to
Quote:\(\alpha \uparrow^{n+1} z = \Psi_{n,\alpha}^{-1}\left(\Psi_{n,\alpha}(1) (\log(\alpha)\omega_n)^z\right)\\
\)
Where the \(\Psi_{n,\alpha}\) is the Schroeder of \(\alpha \uparrow^n-\).
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)