Timeline for Famous mathematical quotes
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 10, 2020 at 17:04 | comment | added | Greg Kuperberg | I think that "soul" amounts an alternative word for "core" in this context. "Soul" or "core" just means a canonical, usually smaller middle part, like an apple core. Elsewhere in geometry and topology, people talk about compact cores of spaces, in particular compact cores of 3-manifolds, which is a similar albeit not identical construction. Another construction which is again similar but not identical is the maximal compact subgroup of a Lie group. "Soul" happens to be a bit pompous compared to other names for this type of thing. | |
| Sep 9, 2020 at 12:36 | comment | added | C.F.G | @GregKuperberg: do you have any clue that why Cheeger and Gromoll called it soul? | |
| Aug 9, 2012 at 23:35 | comment | added | Anton Petrunin | @Ronnie, maybe there is no such duality in mathematics, but there is duality in our perception. | |
| Aug 9, 2012 at 15:37 | comment | added | Ronnie Brown | This comment was in an article on 20th century mathematics which did not contain the words "category", but did talk about the unification of mathematics, which has been one of the major contributions of category theory. There is not really a duality between algebra and geometry, as Grothendieck has shown, but there is a search for underlying processes. | |
| Dec 18, 2009 at 7:24 | comment | added | Greg Kuperberg | A quote that obviously inspired the soul theorem. en.wikipedia.org/wiki/Soul_theorem | |
| Dec 4, 2009 at 20:43 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
added 60 characters in body
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| Nov 29, 2009 at 22:45 | history | answered | Anton Petrunin | CC BY-SA 2.5 |