Do you know natural examples of triangulated categories (or [presentable] stable $\infty$-categories) which are not compactly generated? (ideally they'd be defined algebraically, but curious to hear any examples.. the ones I know are gotten as opposites of compactly generated categories or by sli...
I asked Paul a couple months ago, and he said that nothing has been written, but there may be notes floating around from some talks Kontsevich gave in France last March. There are a few examples given in the last talk at Talbot on the bottom of this page. I was unable to work out a precise math...
TL;DR: I suggest to blacklist the deprecated tags that still exist on some questions, in order to prevent them from being added to new questions. There are a few tags which are deprecated and should not be used at all, but still exist on the site.1 Ideally such tags should be completely removed,...
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