Timeline for Semi group of polynomials which all roots lie on the unit circle
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 6, 2017 at 12:29 | vote | accept | Ali Taghavi | ||
| Nov 29, 2017 at 11:29 | comment | added | მამუკა ჯიბლაძე | @YCor Again, I have to agree. Althoug I see at least one interesting topology, coming from the compact-open topology on the space of all continuous maps from $\mathbf C$ to $\mathbf{CP}^1$, indeed any topology on the semigroup itself was never mentioned | |
| Nov 29, 2017 at 11:21 | comment | added | YCor | @მამუკაჯიბლაძე A group isomorphism is trivial. I was not claiming more since I'm not aware of any canonical topology, so saying that "topologies match" does not make any sense to me. No topology was even specified on the semigroup! | |
| Nov 29, 2017 at 10:45 | comment | added | მამუკა ჯიბლაძე | @YCor You are right. At least, a bijection is indeed trivial. Whether topologies match I don't see so quickly. | |
| Nov 29, 2017 at 10:35 | comment | added | YCor | @მამუკაჯიბლაძე it's trivially the case, isn't it? | |
| Nov 29, 2017 at 7:10 | comment | added | მამუკა ჯიბლაძე | This is really nice! I wonder if this Grothendieck group can be in turn naturally identified with the group of rational functions with zeroes and poles confined to the unit circle | |
| S Nov 29, 2017 at 5:37 | history | suggested | CommunityBot | CC BY-SA 3.0 |
Added paragraph breaks.
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| Nov 29, 2017 at 5:07 | review | Suggested edits | |||
| S Nov 29, 2017 at 5:37 | |||||
| Nov 29, 2017 at 5:06 | comment | added | Julian Rosen | Since the question asks about all polynomials, not just the monic ones, it seems an extra factor of $\mathbb{C}^\times$ is needed. | |
| Nov 28, 2017 at 22:54 | history | answered | Anton Fetisov | CC BY-SA 3.0 |