Timeline for The group of polynomial homeomorphism of the plane
Current License: CC BY-SA 3.0
10 events
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| Jul 20, 2017 at 11:54 | comment | added | YCor | But anyway the compact-open topology for $Homeo(\mathbf{R}^2)$ is, if I'm correct, a group topology (coinciding with compact convergence on compact subsets), and hence in restriction to your subgroup is also a group topology. | |
| Jul 20, 2017 at 10:37 | comment | added | YCor | I'm sorry, you're right. | |
| Jul 20, 2017 at 9:55 | comment | added | Ali Taghavi | @YCor What about if we replace the compact open topology by another one: For example We identify $G$ with certain subspace of $\mathbb{R}^{\infty}$. with the product topology?(The identification of the space of polynomials with the space of their coefficient). | |
| Jul 20, 2017 at 9:04 | comment | added | Ali Taghavi | @YCor I think In the first version of the question, I had also pointed out to compact open topology. May be I did not understand your comment, correctly? | |
| Jul 20, 2017 at 8:25 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Jul 20, 2017 at 8:10 | comment | added | YCor | When a group $G$ is given "is $G$ a topological group" makes no sense. One should rather ask whether $G$ admits interesting/natural group topologies. | |
| Jul 20, 2017 at 6:20 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
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| Jul 20, 2017 at 6:13 | comment | added | Ali Taghavi | @abx Very great comment. Thank you! | |
| Jul 20, 2017 at 6:09 | comment | added | abx | This group has been heavily studied in algebraic geometry. For a nice survey, you can have a look at Algebraic Automorphisms of Affine Space by H. Kraft, Progress in Math. 80 (Birkhäuser), p. 81-105. | |
| Jul 20, 2017 at 6:02 | history | asked | Ali Taghavi | CC BY-SA 3.0 |