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Sep 30, 2015 at 10:29 comment added usr203050 That is what I mean! :-) Also, the comment of shasta gives something more.
Sep 30, 2015 at 10:17 comment added Fedor Petrov If diffeomorphism is something that has differential as a bounded invertible operator between tangent spaces, then this very operator is linear isomorphism between spaces. If not, what concretely do you mean?
Sep 30, 2015 at 10:17 comment added Jochen Wengenroth Isn't the diffeomorphic part answered by the comment of usr203050?
Sep 30, 2015 at 10:03 comment added usr203050 And what if the subsets are smoothly diffeomorphic? (The second question).
Sep 30, 2015 at 9:59 history edited shasta CC BY-SA 3.0
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Sep 30, 2015 at 9:59 comment added usr203050 Ok thank you. So it is far from evident in any case.
Sep 30, 2015 at 9:57 vote accept usr203050
Sep 30, 2015 at 9:54 history answered shasta CC BY-SA 3.0