Timeline for A question about group action on topological space
Current License: CC BY-SA 2.5
12 events
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Dec 25, 2010 at 17:15 | history | edited | Hugo Chapdelaine | CC BY-SA 2.5 |
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Dec 23, 2010 at 3:08 | history | edited | Hugo Chapdelaine | CC BY-SA 2.5 |
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Dec 23, 2010 at 2:20 | vote | accept | Hugo Chapdelaine | ||
Dec 23, 2010 at 1:45 | answer | added | Dick Palais | timeline score: 6 | |
Dec 22, 2010 at 17:21 | comment | added | Hugo Chapdelaine | Yes @Matthew you were right these 2 sentences were confusing I deleted them. The point is if $X$ il locally compact then the group $Aut(X)$ can be turned into a topological group in a natural way using the compact-open topology. | |
Dec 22, 2010 at 14:17 | history | edited | Hugo Chapdelaine | CC BY-SA 2.5 |
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Dec 22, 2010 at 13:37 | history | edited | Hugo Chapdelaine |
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Dec 22, 2010 at 13:35 | comment | added | Hugo Chapdelaine | Hi algori, well these two questions arose naturally to me in the context of Hermitian symmetric domains. I would like to see how this symmetric condition can fail even though the homogeneous condition holds. | |
Dec 22, 2010 at 13:22 | history | edited | Hugo Chapdelaine | CC BY-SA 2.5 |
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Dec 22, 2010 at 5:43 | comment | added | Emerton | I am confused by your second sentence. If $Aut(X)$ has the discrete topology and $\rho$ is continuous, doesn't this mean that some n.h. of $1$ in $G$ has to mapped to the identity in $Aut(X)$, i.e. that some n.h. of $1$ in $G$ acts trivially on all of $X$. Is this part of your assumptions, or am I misunderstanding what you wrote? | |
Dec 22, 2010 at 5:41 | comment | added | algori | Hugo -- it is not very clear (to me) what these questions have to do with differential geometry. | |
Dec 22, 2010 at 4:21 | history | asked | Hugo Chapdelaine | CC BY-SA 2.5 |