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 22 hours 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.
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 16 hours 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 12 hours ago [-]
Don't be hard on yourself. It was a perfectly reasonable and polite comment.
boldslogan 20 hours ago [-]
man ive recently stumbled on this concept of functor or nonsymbolic logic and such. don't suppose you have any suggestions to look at?
fn-mote 15 hours ago [-]
This is a category theory post. The subtitle is “initial functors”.
Now you can save yourself a click.
Rendered at 16:14:39 GMT+0000 (Coordinated Universal Time) with Vercel.
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.
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.
[1] <https://ncatlab.org/nlab/show/diagram>
My bad for not keeping up.
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.
Now you can save yourself a click.