User blog comment:Wythagoras/Catching function in normal ordinals/@comment-11227630-20140203095754

$$\psi(\psi_{\chi(M_{M_\omega})}(0))=C(\Omega^\Omega2)$$

$$\psi(\psi_{\chi(\alpha\mapsto M_\alpha)}(0))=C(\Omega^\Omega\omega)$$

$$\psi(\psi_{\chi(M(1,\omega))}(0))=C(\Omega^{\Omega2})$$

$$\psi(\psi_{\chi(M(\omega,0))}(0))=C(\Omega^{\Omega\omega})$$

So catching function is not so weak.