Apropos "fix"point: are the fractional iterations from there "fix" as well? JmsNxn Ultimate Fellow Posts: 994 Threads: 117 Joined: Dec 2010 07/17/2022, 06:59 AM Yes, Mphlee.  That is very accurate. What a beautiful transcription. Please remember my argument is still pretty rough, and didn't flesh out everything, but it tells the story--similarly with Tommy, who reduced it to the main working part. This is precisely the basis of $$\theta$$ mappings--so you talking about this as a way of classifying uniqueness. It is precisely the uniqueness of theta mappings and how kneser is unique, and its construction is uniqueness. Welcome to the world of theta mappings MphLee Long Time Fellow Posts: 341 Threads: 27 Joined: May 2013 07/17/2022, 09:19 AM (This post was last modified: 07/17/2022, 10:55 PM by MphLee.) Oh... theta mappings... connecting the dots.... damn the picture looks great. Anyways I'm deeply embarrassed by my last post in this thread. I'm having some free time and I was trying to post as much as possible... since idk when I'll have time again... but I'm rushing and the last post is full of typos... it seems unreadable. I apologize. I'll fix it ASAP. Did my best in order to fix it. Added clarifications and fixed typos. MSE MphLee Mother Law $$(\sigma+1)0=\sigma (\sigma+1)$$ S Law $$\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)$$ JmsNxn Ultimate Fellow Posts: 994 Threads: 117 Joined: Dec 2010 07/19/2022, 03:18 AM (07/17/2022, 09:19 AM)MphLee Wrote: Oh... theta mappings... connecting the dots.... damn the picture looks great. Anyways I'm deeply embarrassed by my last post in this thread. I'm having some free time and I was trying to post as much as possible... since idk when I'll have time again... but I'm rushing and the last post is full of typos... it seems unreadable. I apologize. I'll fix it ASAP. Did my best in order to fix it. Added clarifications and fixed typos. Never be embarrassed, Mphlee. You're a very detailed individual, and you work really hard. It's alright to be confused, and make a mistake. Honestly your clarifications added nothing to the discussion (For me at least), I already knew what you meant. Relax, take a breath. It's okay. You're a lot closer to the picture than you think you are.   Regards, James « Next Oldest | Next Newest »

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