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Right before the statement of the augmented simplicial identities, the page simplex category states the convention
Do you want to change that convention?
What I would suggest to edit into the page is a statement of the simplicial identities for the non-augmented case (as they appear at simplicial identities) before the augmented case is stated.
My own opinion is that many simplicial things do come out more nicely using the “algebraic” labeling by counting vertices rather than by geometric dimension, and I’d hate to lose that by editing out material. For example, it’s really helpful when contemplating the augmented simplex category as a monoidal category.
I just wanted to replace all the by some in the definition and start at .
Adding the non-augmented case seems to add a lot of repetitions… Maybe it’s better that I leave it as it is.
I just wanted to replace all the by some in the definition and start at .
On absolute grounds this may be a reasonable step, unforturnately the fully standard convention is different.
Maybe you could find a way to make the entry less confusing, where you find it is confusing, while sticking with standard notational conventions? Maybe adding a remark in the right place would help?
Ok, thank you.
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