henearkr
3 days ago
Very interesting!!
A nitpick, for a J-shaped diagram D, J is the "index category" or the "scheme" of D, not the "shape" like written in the article.
epatters
3 days ago
Thanks!
Yes, there are lots of different names for the domain of a diagram, but "shape" is a common enough one. You can find it in standard sources, including the nLab [1] and some textbooks.
henearkr
3 days ago
Ah you're right!
My bad for not keeping up.
JadeNB
3 days ago
The article does mention "index[ing] category." I think terminology here is not especially universal: I am a mathematician but not a category theorist, and I have seen "shape" but not "scheme."
henearkr
3 days ago
Yes, it is completely understandable with "shape".
As I am not a professional mathematician, I have read a very limited number of books touching the subject, so my vocabulary was in fact a bit too narrow. I should have looked up on nLab before making a fool of myself.
JadeNB
2 days ago
Don't be hard on yourself. It was a perfectly reasonable and polite comment.