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Oct 8, 2022 at 8:50 vote accept David Roberts
Oct 8, 2022 at 8:50 comment added David Roberts Oh cool. I was worried that the tangent spaces wouldn't work out, but given that they do, this is an excellent argument. Thanks!
Oct 8, 2022 at 7:30 comment added TaQ Yes, it is exactly so.
Oct 8, 2022 at 2:09 comment added David Roberts Can I ask: is this proof reducing the issue to that of a linear section of $J$ by looking at the derivative of the local section? And then proving that a linear section cannot exist, since we cannot have a retraction to the kernel? If that's the case, then I totally get it.
Oct 7, 2022 at 12:16 comment added David Roberts Oh, excellent! This will take me a little to digest, so I can accept this after a little delay.
Oct 7, 2022 at 11:49 history answered TaQ CC BY-SA 4.0