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Stream: community: general

Topic: nLab and properties of categories


view this post on Zulip Mike Stay (Sep 03 2020 at 18:23):

Is there a standard idiom on the nlab for finding a page on the category of all structures of a given kind? There's MonCat for monoidal categories, but there's no SymMonCat or SMCCat for symmetric monoidal closed categories. And the MonCat page doesn't give any properties of MonCat: is it a monoidal category? symmetric? cartesian? monoidal closed? cartesian closed? There's a page for quantales, but no page for Quant. Am I missing something, or does all that work still need doing?

view this post on Zulip Nathanael Arkor (Sep 03 2020 at 18:42):

I believe it's simply that no-one has created those pages, or filled in those details.

view this post on Zulip John Baez (Sep 03 2020 at 22:24):

Yes, I think people need to start creating those pages!

view this post on Zulip Christian Williams (Sep 05 2020 at 17:39):

Maybe we could try to set a standard that each page for a concept, like monoidal closed category, should include a section of the structure they form, e.g. the 2-category MCC.

view this post on Zulip Christian Williams (Sep 05 2020 at 17:41):

It seems like there are many useful facts about the structures of these categories ("is there an interesting noncartesian tensor of monoidal closed categories?") that are known in the literature, but haven't been put on the nLab.

view this post on Zulip John Baez (Sep 05 2020 at 18:30):

I will take this conversation seriously when someone puts something on the nLab. It's so, so easy to spend one's energy writing about writing.

view this post on Zulip John Baez (Sep 05 2020 at 18:38):

@Tim Hosgood just LaTeXed weeks 101-150 of This Week's Finds. That's 378 pages! That's what I call real work. (We're going to put the first 300 weeks on the arXiv.)

view this post on Zulip John Baez (Sep 05 2020 at 18:41):

I'm sorry if I sound critical, but I've seen a lot of projects on the internet succeed - and many more fail. Probably the main reason projects fail is that people don't start actually doing them. The main reason the nLab is as good as it is is that people put a lot of time into actually writing material. If you notice a piece of missing information, you can fill that hole in less than 5 minutes.

view this post on Zulip John Baez (Sep 05 2020 at 18:42):

Organizing webpages is also good... but just go ahead and start! It's easy to change things if you change your mind.

view this post on Zulip Tim Hosgood (Sep 05 2020 at 19:05):

(it’s quite slow work, but pandoc and some sneaky regexes have done a lot of heavy lifting for me 😉)

view this post on Zulip John Baez (Sep 05 2020 at 19:17):

I have no idea what pandoc and sneaky regexes are - you must be a wizard and these must be your familiars.

view this post on Zulip John Baez (Sep 05 2020 at 19:17):

Keep feeding them.