What do you think of Dimitrii Kouznetsov's article?

[Daniel]

I've been browsing on the internet about tetration, and I've found an article which is very promising about tetration. It's a bit to complex for me to understand, but I'm just wondering if this work is credible and rigorous. So tell me what you think about this article!
https://en.citizendium.org/wiki/tetration

I'll drop a quick answer until someone else more knowledgeable comes along. Kouznetsov's work and his work with Bo are very important. Their papers around 2007 may have been the first published papers on extending tetration. Like everyone else until Paulsen, they were unable to find a way to master the convergence of tetration. Paulsen mentions that his work is consistent with Kouznetsov's (maybe based on Kouznetsov's?)  I consider it an serious intellectual failing that I have not mastered their material. So the material is both credible and rigorous, and dare I say required reading here.
On a personal note, I understand Kouznetsov is living in Moscow now. I hope he is doing well.

Also, see https://math.eretrandre.org/tetrationfor...y#pid10312