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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
added 60 characters in body; edited body
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
added 26 characters in body
Aug 28, 2010 at 16:11 history edited Mariano Suárez-Álvarez CC BY-SA 2.5
added 175 characters in body
Aug 28, 2010 at 15:56 history asked Mariano Suárez-Álvarez CC BY-SA 2.5