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 Composition, bullet notation and the general role of categories JmsNxn Long Time Fellow Posts: 571 Threads: 95 Joined: Dec 2010 02/02/2021, 04:49 AM (This post was last modified: 02/02/2021, 08:49 AM by JmsNxn.) (02/02/2021, 01:44 AM)MphLee Wrote: This follows from the discussion held at: MphLee, Generalized Kneser superfunction trick (the iterated limit definition), (January 21, 2021), Tetration Forum. Quote:  $f \circ g \circ z$ Wtf is that nonsense? lol What nonsense is this? It's abstract nonsense! Hey, Mphlee. I absolutely agree with you, but I think you misread me. I write, $f\bullet g \bullet z$ To make it distinct. Which inherently also means $f \circ g \circ z$ as you say it. I was mostly just making an argument against using $\circ$. Whereas, someone sees that with circ and thinks it an abuse of notation; whereas with a bullet, itis given this meaning. On top of that, now we can look at, a sequence of forms (don't worry, I don't use forms, it's mostly just a comparison of notation) $f_j \bullet g_j \bullet z$ and we can attach an operator/functor to them, $\Omega_j$. I just really don't like the use of $\circ$ notationally/typographically. I believe it would warrant confusion. But I'm so happy that you see the categorical structure. Again, I had help by someone really smart in designing this notation...<_< EDIT: Oh and I look forward to reading the PDF! I was also suggested $f \leftarrow g \leftarrow z$ but it was agreed bullet is much better. This one is a bit toooo categorical, If you know what I mean. Edit2: $ ds \leftarrow z\\$ looks fucking awful, eh? « Next Oldest | Next Newest »

 Messages In This Thread Composition, bullet notation and the general role of categories - by MphLee - 02/02/2021, 01:44 AM RE: Composition, bullet notation and the general role of categories - by JmsNxn - 02/02/2021, 04:49 AM RE: Composition, bullet notation and the general role of categories - by MphLee - 02/02/2021, 09:13 AM RE: Composition, bullet notation and the general role of categories - by JmsNxn - 02/02/2021, 08:57 AM RE: Composition, bullet notation and the general role of categories - by MphLee - 02/02/2021, 09:27 AM RE: Composition, bullet notation and the general role of categories - by JmsNxn - 02/04/2021, 03:25 AM RE: Composition, bullet notation and the general role of categories - by MphLee - 02/04/2021, 11:12 AM RE: Composition, bullet notation and the general role of categories - by JmsNxn - 02/06/2021, 12:01 AM RE: Composition, bullet notation and the general role of categories - by MphLee - 05/19/2021, 12:25 AM

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