Timeline for Does Thom-Milnor theorem provide a bound for the number of connected components of a zero set of a polynomial system?
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Mar 16, 2023 at 8:52 | comment | added | user43326 | Yes, your argument is correct, I am not sure about your question 1, but a quick look at the proof seems to indicate that it should work for any polynomials. As to 2, yes, it is true except for "very bad" sets (from view point of classical algebraic topology), and affine varieties are always good enough. | |
Mar 16, 2023 at 3:50 | history | edited | Vladimir Zolotov |
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Mar 16, 2023 at 3:39 | history | asked | Vladimir Zolotov | CC BY-SA 4.0 |