Timeline for On the $\mathbb R$-algebra structure on $C^\infty(M)$.
Current License: CC BY-SA 2.5
12 events
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Aug 30, 2010 at 16:26 | history | edited | Mariano Suárez-Álvarez | CC BY-SA 2.5 |
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Aug 28, 2010 at 22:20 | vote | accept | Mariano Suárez-Álvarez | ||
Aug 28, 2010 at 22:19 | history | edited | Mariano Suárez-Álvarez | CC BY-SA 2.5 |
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Aug 28, 2010 at 22:18 | comment | added | Mariano Suárez-Álvarez | @Donu, yes; @Andrew, the category of rings—I guess I should have been explicit about what I kept. @Steve, I do not understand the relation between your comment and my question! | |
Aug 28, 2010 at 19:34 | answer | added | George Lowther | timeline score: 16 | |
Aug 28, 2010 at 17:40 | answer | added | Robin Chapman | timeline score: 11 | |
Aug 28, 2010 at 17:08 | comment | added | Steve Huntsman | AFAIK a partition of unity is of use only for multiplying functions by its elements. How would you get complete information about the global structure of M without this? | |
Aug 28, 2010 at 16:55 | comment | added | Andrew Stacey | I'm still a bit baffled as to the actual question. What information are you keeping on $C^\infty(M)$? What category should I consider it an object of? | |
Aug 28, 2010 at 16:39 | comment | added | Donu Arapura | Just to clarify, you're asking whether you can recover $M$ from the ring $C^\infty(M)$? | |
Aug 28, 2010 at 16:27 | history | edited | Mariano Suárez-Álvarez | CC BY-SA 2.5 |
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Aug 28, 2010 at 16:11 | history | edited | Mariano Suárez-Álvarez | CC BY-SA 2.5 |
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Aug 28, 2010 at 15:56 | history | asked | Mariano Suárez-Álvarez | CC BY-SA 2.5 |