4 ms·
The moment limits appear, illustrations stop. Not to speak about “derived” concepts…
by pfortuny 5y ago
The moment limits appear, illustrations stop.
Not to speak about “derived” concepts…
- fn-mote 5y agoI guess you are talking about limits like in analysis, but even then I don't think this is really true. I'm not really sure if you intend to distinguish between limits and colimits; I'll assume not, but I would certainly agree that infinite (inverse) limits are harder to understand with diagrams. On a simple level, limits in category theory don't need to involve infinite things at all, you can take the limit over a small category like (x --> x <-- x). With regard to derived concepts, one can draw pictures of "projective resolutions" or draw level by level pictures of the nerve of the category you want to work with. So I think you can in fact make useful pictures even in this case.
- deleted 5y ago[deleted]