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Apr 15, 2021 at 13:33 comment added Timothy Chow Yes, it seems like one could come up with many explicit examples of categories with "undesirable" properties by taking some "modern" category that was introduced to have nice categorical properties, and looking at its predecessor. Actually, the category doesn't even have to be that "modern." For example, CW complexes behave better than simplicial complexes.
S Apr 14, 2021 at 15:08 history answered Mike Shulman CC BY-SA 4.0
S Apr 14, 2021 at 15:08 history made wiki Post Made Community Wiki by Mike Shulman