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Jan 1, 2018 at 23:40 comment added guest Great answer; I also want a chance to discuss HTT with Yonathan in person; I have nearned a lot from his answers!
Dec 30, 2017 at 12:41 comment added Julien Grivaux I would add onother answer in the list : "discuss of HTT with Yonatan in person". I had many doubts concerning all this homotopical stuff. I think the best way to be convinced is to study a classical problem that leads you to nontrivial homotopical issues (this is what happened to me). Then you start wandering on a weird road, and you discover that each stone on this road has a "raison d'être". Then suddenly all the stuff you've heard in conferences, seen in books, and often thought to be abstract nonsense, starts to have a meaning because you understand WHY it was built for.
Dec 27, 2017 at 12:25 history made wiki Post Made Community Wiki by Todd Trimble
Dec 26, 2017 at 18:59 history edited Yonatan Harpaz CC BY-SA 3.0
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Dec 26, 2017 at 18:34 comment added Nik Weaver Yeah, I really like this answer.
Dec 26, 2017 at 18:29 comment added Disappointed Categoricien This is a good answer.
Dec 26, 2017 at 18:27 vote accept Disappointed Categoricien
Dec 26, 2017 at 17:15 comment added Leonid Positselski There must be quite a few open problems in nonderived category theory, of course. Some of them are listed at the end of the Adamek-Rosicky book on locally presentable and accessible categories (some of these may have been solved since the book's publication). My favorite one lately is this: does there exist a locally presentable abelian category with enough injective objects that is not a Grothendieck category? Perhaps somebody knows an answer to this, and it is just me who doesn't know, but I doubt it.
Dec 26, 2017 at 15:25 history answered Yonatan Harpaz CC BY-SA 3.0