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Hi,
A while ago, I asked how to work in the internal logic of a monoidal topos, and I was pointed to the PhD thesis of Ulrich Schöpp. Since then, I have worked out a very simple way to check whether their type theory is applicable to a classifying topos of your choice. I've done my best to write this up.
Is this something I can publish? If so, how? For context, I'm currently an undergraduate student, and I have never published a paper before, so I don't really know how that works.
Most people first upload their paper on ArXiv. I think you must follow the instructions here to create an account:
https://info.arxiv.org/help/registerhelp.html
We can explain to you how to upload a paper once you succeeded to create an account.
Maybe you'll need a sponsorship by someone which already has an account to create your account. If it's the case I can probably sponsor you (and dozens of other people here might be able to do it as well).
Some basic tips:
Good luck!
One other small piece of advice: don't start a sentence with a \cite
! You can use the author's name, and put the citation at the end of the sentence
There are dozens of pieces of wisdom like this one should learn. One way is to read good papers and pay careful attention. Another is to listen carefully to referees who complain about the style of your papers. Another is to read Steven Krantz's A Primer of Mathematical Writing.
You can also download tex sources on the arXiv if you are curious how authors wrote things up.
Thank you all for the advice!
Unfortunately, as I was following the advice to improve the paper, I spotted a potential error in my proof. So it's back to the drawing board for now.