Timeline for A converse of Cartan's automatic continuity theorem
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Mar 9, 2019 at 14:24 | vote | accept | rori | ||
Mar 9, 2019 at 13:48 | history | edited | YCor |
edited tags
|
|
Mar 9, 2019 at 13:45 | comment | added | YCor | Your reduction to the connected case is not correct. The connected case is easy (find a discontinuous automorphism of $Z(G)^\circ$ that is identity on $Z(G)^\circ\cap [G,G]$. In general, one needs to extend such an automorphism and this requires some argument and I don't think you're giving one (you need to construct an automorphism). | |
Mar 9, 2019 at 13:44 | answer | added | YCor | timeline score: 2 | |
Mar 9, 2019 at 12:40 | review | Close votes | |||
Mar 9, 2019 at 13:50 | |||||
Mar 9, 2019 at 12:30 | comment | added | YCor | As regards your last question, yes: in a compact abelian Lie group, any countable subset is contained in a countable direct summand (for the abstract group structure). | |
Mar 9, 2019 at 11:45 | review | First posts | |||
Mar 9, 2019 at 12:36 | |||||
Mar 9, 2019 at 11:40 | history | asked | rori | CC BY-SA 4.0 |