Timeline for How many polynomial Morse functions on the sphere?
Current License: CC BY-SA 3.0
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| Jun 22, 2022 at 7:16 | history | edited | CommunityBot |
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| Feb 18, 2014 at 5:00 | vote | accept | Will Sawin | ||
| Apr 3, 2013 at 20:49 | comment | added | Liviu Nicolaescu | The brief answer is I don't have an explicit upper bound on the top of my head but I think I know methods of producing a (really bad) upper bound valid for all polynomials $p\in U_d$ situated outside a semialgebraic subset of $U_d$ of codimension $\geq 1$. This is what many real algebraic geometers do for a living. I recommend a book by Basu, Pollack and Roy for inspiration perso.univ-rennes1.fr/marie-francoise.roy/bpr-ed2-posted1.html | |
| Apr 3, 2013 at 18:28 | comment | added | Will Sawin | Do you know any upper or lower bounds, even very bad ones? | |
| Apr 3, 2013 at 12:19 | history | edited | Liviu Nicolaescu | CC BY-SA 3.0 |
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| Apr 1, 2013 at 9:01 | history | edited | Liviu Nicolaescu | CC BY-SA 3.0 |
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| Mar 31, 2013 at 10:29 | history | edited | Liviu Nicolaescu | CC BY-SA 3.0 |
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| Mar 30, 2013 at 13:37 | history | edited | Liviu Nicolaescu | CC BY-SA 3.0 |
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| Mar 30, 2013 at 12:14 | history | edited | Liviu Nicolaescu | CC BY-SA 3.0 |
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| Mar 30, 2013 at 12:04 | history | answered | Liviu Nicolaescu | CC BY-SA 3.0 |