Timeline for Not normal connected component of a right topological group
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Jan 20, 2016 at 8:17 | comment | added | Tom De Medts | Oh, I'm sorry, I incorrectly assumed that you were considering a topological group. I should have read your title more carefully :) | |
| Jan 19, 2016 at 17:18 | comment | added | Minimus Heximus | @TomDeMedts: Let $H$ be a not normal subgroup of $G$. Let $\mathcal F$ be the set of all subsets of $G$ which contain $H$. Let $\cal T$ be a topology on $G$ with $\cal F$ the set of all neighborhoods of $1$ and the maps $x\mapsto xa$ continuous everywhere. $(G,\cal T)$ is a topology as defined above. $H$ is the connected component containing $1$. | |
| Jan 19, 2016 at 17:02 | comment | added | Tom De Medts | It seems trivial that $C$ is a normal subgroup. | |
| Jan 19, 2016 at 13:38 | comment | added | Minimus Heximus | @Anton It seems trivial that $C$ is a subgroup. However there is no clue for normality. No I have not any example for a not normal $C$. | |
| Jan 19, 2016 at 11:02 | comment | added | user1688 | Can this happen? Can you give examples? | |
| Jan 19, 2016 at 9:00 | review | Close votes | |||
| Jan 20, 2016 at 9:40 | |||||
| Jan 19, 2016 at 2:50 | history | edited | Minimus Heximus | CC BY-SA 3.0 |
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| Jan 19, 2016 at 2:44 | history | edited | Minimus Heximus | CC BY-SA 3.0 |
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| Jan 19, 2016 at 0:23 | history | edited | Minimus Heximus | CC BY-SA 3.0 |
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| Jan 18, 2016 at 23:09 | history | asked | Minimus Heximus | CC BY-SA 3.0 |