Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Generalized Kneser superfunction trick (the iterated limit definition)
#7
I read your paper again, and I think I have some more thoughts, but I have more questions. I think I'll formulate a couple of questions and try to explain myself through an air of questioning; and hone the questions better and then ask. First, I thought it warranted to try to talk categorically.

Can we write,



So that is say, a diffeomorphism (I believe that's the word, if not; it's something like that) of . Just so my shallow brain can think of a representative of the category; and it's not all up in the air. Let's additionally assume that:



For some constants . Which will make the exponential convergents behave well. And it would imply it's inverse at worse grows like somethin' somethin'. This would be a perfectly good algebraic space where we could derive,



Now I haven't proven that, not entirely sure how to, but it's manageable--I could probably prove something close enough to continue the discussion.

-------------------------

With that out of the way, I'm going to keep thinking about this as operations on and functors; but to me they make sense as functors on ; or subgroups, or different versions or whatever. What I mean is, can we think of as an almost IDEAL space. Like the best space possible; where all the algebra is simple. Rather than monsters like we look at simple amoebas like . And build from the bottom up. Because I agree with a lot of what you are saying. But from a categorical perspective, start simple, no?

Unless I'm missing something drastic. You're paper was the most riveting the 3rd time... Maybe I just got over analytical, lmao
Reply


Messages In This Thread
RE: Generalized Kneser superfunction trick (the iterated limit definiton) - by JmsNxn - 01/28/2021, 03:50 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  The Generalized Gaussian Method (GGM) tommy1729 1 149 5 hours ago
Last Post: tommy1729
  Arguments for the beta method not being Kneser's method JmsNxn 54 4,101 10/23/2021, 03:13 AM
Last Post: sheldonison
  Some "Theorem" on the generalized superfunction Leo.W 44 7,692 09/24/2021, 04:37 PM
Last Post: Leo.W
  tommy's singularity theorem and connection to kneser and gaussian method tommy1729 2 291 09/20/2021, 04:29 AM
Last Post: JmsNxn
  Alternative manners of expressing Kneser JmsNxn 1 777 03/19/2021, 01:02 AM
Last Post: JmsNxn
  Questions about Kneser... JmsNxn 2 1,060 02/16/2021, 12:46 AM
Last Post: JmsNxn
  Generalized phi(s,a,b,c) tommy1729 6 1,833 02/08/2021, 12:30 AM
Last Post: JmsNxn
  Kneser method question tommy1729 9 9,348 02/11/2020, 01:26 AM
Last Post: sheldonison
  iterated derivation Xorter 0 1,963 06/09/2019, 09:43 PM
Last Post: Xorter
  Where is the proof of a generalized integral for integer heights? Chenjesu 2 4,021 03/03/2019, 08:55 AM
Last Post: Chenjesu



Users browsing this thread: 1 Guest(s)