Timeline for What precisely Is "Categorification"?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jun 30, 2010 at 15:53 | history | edited | Noah Snyder | CC BY-SA 2.5 |
added 18 characters in body
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| Jun 30, 2010 at 15:52 | comment | added | Noah Snyder | Indeed, that's what I meant in that sentence, but perhaps "well-defined" wasn't as clear as I thought, so I'll edit. | |
| Jun 30, 2010 at 6:48 | comment | added | Victor Protsak | Very insightful answer. A minor gripe: "What exactly do Catalan numbers count?" hardly has a well-defined answer. --- On the contrary, it does, $\textit{many}$ of them, related in certain well understood and some not-so-well understood ways. Philosophically, this is perfectly in line with the idea of categorification as adding extra layers of structure (different models for Catalan #s being analogous to different objects of a groupoid). | |
| Dec 19, 2009 at 19:05 | comment | added | Qiaochu Yuan | Of course sometimes "dimensions of vector spaces" means "ranks of abelian groups," e.g. when one is trying to interpret a sequence as the Betti numbers of some space. | |
| Dec 19, 2009 at 18:33 | history | answered | Noah Snyder | CC BY-SA 2.5 |