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Nov 15, 2023 at 10:46 comment added Janus Wesenberg I will be writing up your answer as a short paper. Please get in touch if you would like to be listed as author, otherwise I will cite your answer here. You can reach me as janus@<domain listed in my profile>.
Oct 25, 2010 at 2:48 comment added Janus Wesenberg Thank you very much, BS! Perhaps if I had not been so convinced that all curves of critical points would extend through the any singular points, I would have had better luck finding a counterexample myself :) Thus I learn again that (my) intuition and analysis should not be mixed. This is really amazing -- I have been pushing this problem to mathematician friends for a couple of years now with no progress, and then a few days after posting it to mathoverflow it is solved. The future is now (but then, it's 2010 -- so it'd better be) :)
Oct 25, 2010 at 2:41 vote accept Janus Wesenberg
Oct 23, 2010 at 16:29 history edited BS. CC BY-SA 2.5
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Oct 23, 2010 at 13:29 history edited BS. CC BY-SA 2.5
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Oct 23, 2010 at 13:17 history answered BS. CC BY-SA 2.5