{"id":49012920,"user":"gus_massa","time":1784751944,"time_ago":"7 hours ago","type":"comment","content":"

Main discussion: https://news.ycombinator.com/item?id=48998362 Probably you shoud read the fist few paragraphs of that post, but it escalates quickly.

I'll cherry pick a few comment I like. I think they are worth reading but I'll quote a highlight of each one.

From kingstnap https://news.ycombinator.com/item?id=49000867

> If the Jacobian is a nonzero constant everywhere this means that nowhere does the the function flatten out. [...] What was conjectured is that this local invertibility property everywhere would mean global invertibility.

From mswphd https://news.ycombinator.com/item?id=48999959

> it doesn't overturn much. [...] the resolution of this is a "surprise" in that it is a very long open with many failed proof attempts. But the direction it resolved was not surprising.

Can I quote myself? https://news.ycombinator.com/item?id=49007165

> From a comment by j2kun https://news.ycombinator.com/item?id=49000833 , someone asked Fable and there was an almost counterexample in 2d but it uses division too. [Instead of f=x^2+7xy they have something like f=x^2+7x/y so it's not a polynomial.] It looks like the new trick was to use a third variable to avoid the division.","comments":[{"id":49012992,"user":"khurs","time":1784752237,"time_ago":"6 hours ago","type":"comment","content":"

Thank you","comments":[],"comments_count":0,"level":0,"url":"item?id=49012992"}],"comments_count":1,"url":"item?id=49012920"}

Comment by gus_massa