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Timeline for Diff(M) and connectedness

Current License: CC BY-SA 3.0

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Feb 19, 2013 at 0:37 vote accept Koushik
Feb 18, 2013 at 18:12 answer added Peter Michor timeline score: 9
Feb 18, 2013 at 17:52 answer added Andy Putman timeline score: 14
Feb 18, 2013 at 16:53 comment added Alain Valette $Diff(M)$ is the group of diffeomorphisms, and the question is how properties of $Diff(M)$ reflect in topological properties of $M$.
Feb 18, 2013 at 16:29 comment added Mariano Suárez-Álvarez What is Diff(M) here? The notation is usually used to denote the group of diffeomorphisms, but then Stephan's comment is weird.
Feb 18, 2013 at 15:44 comment added Koushik i don't see why Diff(M) should be a subsheaf of C(M).
Feb 18, 2013 at 15:39 comment added Koushik i am asking both way
Feb 18, 2013 at 15:13 comment added Stephan Müller I guess the question is a bit vague. Is Diff(M) the subsheaf of C(M) of smooth functions on M? Clearly, if Diff(M) has non-trivial idempotents, so has C(M). Are you asking for the converse?
Feb 18, 2013 at 14:37 history asked Koushik CC BY-SA 3.0