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Okay, so:
Beyond that starts the nonsense for me. I'm very curious whether that stuff actually checks out. Some of the terms I remember from group theory, but other stuff seems incorrect to my (limited) knowledge.
The second definition of ๐ seems to contain redundant information, as far as I can see " --> " defines a morphism, so why does the predicate "ฯ is a morphism" matter?
The first definition of ๐ with the contravariant thing also doesn't parse for me, what does that "-" mean in the function arguments?
In the definition of ๐ญ, what is the n (or the P)? ChatGPT started yapping about real projective space, but I'm not sure if that's correct.
If there's an actual mathematician here who knows then I'd love to know the answer. I've kinda been nerd sniped by this question but I don't possess the knowledge to fully get this one
All I can say is that
P(โ)
refers to a power set of โ (all rational numbers). Although I don't know what n stands for inPโฟ(โ)
Basically
P(A)
, whereA = {1,2,3}
, equal{ฮฆ,1,2,3,(1,2),(2,3),(1,3),(1,2,3)}
Yeah this was a possibility I was thinking as well. The superscript n could just be n recursive applications, but then n is still not defined. It's one of the things that makes me thing that it's just nonsense. Also, how do you do math on Lemmy? Can you just use LaTeX math syntax or did you copy those symbols?
It's real projective space
Wrote it from my phone using Unexpected Keyboard app with Greek symbols included and used superscripts and subscripts feature. I just used the markdown feature of writing code to create some formatting. Like this
A = {}
Also this post is nonsense, hence posted here.
It's not nonsense, although there is a typo that makes it technically unsolvable. If you fix the typo, it's an example calculation in the wikipedia page on the universal coefficient theorem: https://en.m.wikipedia.org/wiki/Universal_coefficient_theorem
Learned something new today