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When pointing somebody to it, I noticed that the entry n-category is in a rather sad state and in particular it used to start out in a rather unhelpful fashion. I have now tried to briefly fix at least the latter problem by expanding and editing the first two sentences a bit. Notably I made sure that a pointer to (∞,n)-category appears early on, for that is a place with more robust information, currently.
I noticed that n-category still contained an old query box from me remarking on a rumor that Joyal’s definition is not quite right. This has since been made precise and fixed by Dimitri Ara, so I added a remark to that effect and removed the query box. Ara’s notion of “n-quasicategory” appears to be missing from the nLab and in particular from the entry (infinity,n)-category, but I don’t have time to add it now.
Dimitri Ara’s stuff is all discussed at model structure on cellular sets, and linked to from the relevant entries.
But it is true that I failed to highlight the term “n-quasicategory” when writing that entry. I have now created n-quasicategory and cross-linked with relevant entries.
[ the hyphen-bug is effective. I tried to add redirects with the (invisible) variants of the hyphen. But if some links to “n-quasicategory” are still broken, we need to replace them by copy-and-pasting the entry title ]
Ah, great, thanks.
To the “list of definitions” (here) I have added a line:
(But this old entry would deserve some more attention and updating…)
Removed the following two query boxes, which had no effect despite being displayed there for many years. As a side remark, the entry that is the progenitor of nLab’s name should probably have at least some references…
+–{: .query} Someone should add some more references! =–
+–{: .query} Please add any other comparisons you are aware of! =–
have expanded the Idea-section (here, ending up effectively rewriting it from scratch, thereby)
added a References-section with a pointer to the references at higher category theory.
Best would probably be to create an entry higher categories – references with a bare list of references, and then to !include
it here and there and maybe elsewhere, too.
added references with exposition of algebraic notions of -categories
(moved over from the entry infinity-category, as announced there)
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