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Apr 28, 2014 at 0:54 comment added David Roberts @oxeimon 'sheaf theory on real manifolds are trivial' - depends what sort of sheaves you are interested in. Sheaves of continuous or smooth real-valued functions, alright. Analytic functions, or perhaps more 'interesting' sheaves valued in other things (e.g. germs of functions to Lie groups), not so trivial.
Apr 20, 2014 at 7:25 vote accept Haullab
Apr 20, 2014 at 7:22 vote accept Haullab
Apr 20, 2014 at 7:25
Apr 19, 2014 at 20:25 comment added Denis Nardin I've added an explanation in the answer.
Apr 19, 2014 at 20:19 history edited Denis Nardin CC BY-SA 3.0
corrected typo
Apr 19, 2014 at 20:09 comment added Will Chen I've seen many people refer to partitions of unity as a way of doing exactly what you describe, but I've never seen a "partitions of unity argument", as such. Can you outline an example of such an argument showing that sheaf theory on, say, real manifolds are trivial?
Apr 19, 2014 at 19:39 history answered Denis Nardin CC BY-SA 3.0