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5 votes
1 answer
393 views

Holomorphic Sard's theorem 2

My previous question on this topic had a negative answer, but Tom Goodwillie in the comments suggested a statement, which may be true, and even a strategy of how to prove it. I haven't been able to ne …
erz's user avatar
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3 votes
0 answers
82 views

Discrete set of critical points of a holomorphic map

I have originally posted this question on math.SE, but it received no attention, so I repost it here. Let $U$ be an open domain in $\mathbb{C}^{n}$. Let $m\ge n$ and let $F:U\to C^{m}$ be a holomorph …
erz's user avatar
  • 5,529
9 votes
1 answer
651 views

Holomorphic Sard's theorem?

I have originally posted this question on math.SE, but it received little attention, so I repost it here. Let $U\subset \mathbb{C}^{n}$ and $V\subset \mathbb{C}^{m}$ be open and connected. Let $\Phi: …
erz's user avatar
  • 5,529