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I’ve recently been seeing some formatting in nLab articles that looks a tad unusual to me, and thought I’d bring it up (and sorry to come off as criticizing here).
In vanishing at infinity, the definitions look like this:
Definition. The map vanishes at infinity if:
for every neighbourhood of the basepoint in ,
there is compact subspace of such that:
for every in the exterior of in ,
belongs to .
This looks unusual to me because ordinarily I see bullets used to itemize things (like a list of properties, or equivalent conditions) that are on a “grammatical” par, so to speak. Here what we have are bullets that are used to separate premises from conclusions. The other day, when I saw this, I was actively confused by this, and made a change (it was mainly to correct an actual mathematical mistake).
I think I understand the appeal of creating line breaks to separate premise from conclusion, but using bullets and indented bullets for this purpose strikes me as strange. Maybe it’s just me. A more traditional bulletless rendering without line breaks, at the opposite typographical end, might be
Definition. The map vanishes at infinity if for every neighbourhood of the basepoint in , there is a compact subspace of such that belongs to whenever lies in the exterior of in .
and there is plenty of room in between these two approaches that one could experiment with.
Just want to know what people think. By no means do I wish to be insistent.
I agree with you. I like your traditional way better.
Feel free to change it!
One could also indent each of these four lines one tab farther than the last, to show the appearance of the quantifiers. I agree that the current version reads oddly.
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