Timeline for Most harmful heuristic?
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Oct 28, 2018 at 14:56 | comment | added | Nico A | Wait... this isn't true? | |
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Nov 10, 2016 at 10:06 | comment | added | HeinrichD | This heuristic is analogous to the heuristic that groupoids are sets with groups attached to their points. We forget how the points interact with each other. | |
| Sep 27, 2010 at 18:21 | comment | added | Peter LeFanu Lumsdaine | This seems to me to be one of those heuristics which is very useful as a first approximation, but very misleading if one starts to think of it as the whole story. | |
| May 22, 2010 at 15:15 | comment | added | Victor Protsak | This seems to be a carbon copy of a very useful, in my opinion, heuristic "orbifolds are manifolds with groups attached to points". | |
| Apr 25, 2010 at 22:56 | comment | added | Anton Geraschenko | @unknown: How do you (heuristically) imagine schemes? It's fine to use terminology like "fat point" so long as you keep in mind that the "fatness" of a point is not all the information there is: Spec(k[ε]/ε³) is different from Spec(k[x,y]/(x²,xy,y²)), even though they're both "fat points of order 3". Similarly, points of stacks do indeed have automorphism groups, but it is important not to think that that's all there is to it. I guess my point was that I feel like too many people take this heuristic as the definition, so they are not sufficiently mindful of its limitations. | |
| Apr 25, 2010 at 19:14 | comment | added | Qfwfq | Anton: ok, the heuristics of "groups attached to points" is very incomplete, but... so how do you (heuristically) imagine a stack, you really think of it as a forest of objects and arrows over the category of schemes?? [*/G] ? Orbifolds? Orbifold curves? Gerbes? | |
| Oct 24, 2009 at 23:50 | comment | added | Ilya Nikokoshev | By leaving a comment explaining that the answer is so great others just have to upvote it. You convinced me, by the way, to give my last daily vote :). | |
| Oct 24, 2009 at 23:02 | comment | added | Kevin H. Lin | How do I up-vote answers multiple times?!?! | |
| Oct 24, 2009 at 21:07 | history | answered | Anton Geraschenko | CC BY-SA 2.5 |