Timeline for Is Thompson's Group F amenable?
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Nov 20, 2014 at 11:40 | comment | added | Sean Eberhard | @LevGlebsky Nevermind, we figured it out. In fact on any finite magma there exists an idempotent measure by Brouwer's fixed point theorem. | |
| Nov 20, 2014 at 0:53 | comment | added | Sean Eberhard | @LevGlebsky Looks legitimate to me. What's the problem? | |
| Dec 1, 2012 at 0:42 | comment | added | Lev Glebsky | I am wrong as it was explained to mi by Justin. | |
| Nov 23, 2012 at 23:53 | comment | added | Lev Glebsky | It looks like $\mu^\mu=\mu$ is impossible for the free 1-generated magma $\mathbb T$. Indeed, suppose that such a measure $\mu$ exists. Then for any homomorphic image of $\mathbb T$ should exists an idempotent measure. Using SAGE I was found that magma $\{0,1,2,3\}$ with multiplication matrix $$ \left(\begin{array}{rrrr} 1 & 3 & 2 & 2 \\ 1 & 2 & 1 & 3 \\ 0 & 2 & 3 & 3 \\ 0 & 2 & 1 & 2 \end{array}\right) $$ has no idempotent measure. It is also generated by $0$: $0^0=1$, $1^0=3$, $3^0=2$. So, $\mathbb T$ does not have an idempotent measure. Am I right? | |
| Oct 4, 2012 at 13:59 | comment | added | tweetie-bird | @Justin: good luck with your work on this difficult question! | |
| Oct 4, 2012 at 13:16 | history | edited | Justin Moore | CC BY-SA 3.0 |
minor changes to the wording
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| Oct 4, 2012 at 1:49 | history | edited | Justin Moore | CC BY-SA 3.0 |
updated to reflect my erroneous proof
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| Sep 8, 2012 at 21:14 | comment | added | Andrés E. Caicedo | math.utoronto.ca/cms/toronto-set-theory/2012-09-07 | |
| Feb 4, 2011 at 1:22 | history | edited | Justin Moore | CC BY-SA 2.5 |
added 161 characters in body
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| Jan 31, 2011 at 16:24 | vote | accept | ADL | ||
| Jan 28, 2011 at 17:34 | history | edited | Justin Moore | CC BY-SA 2.5 |
Added an update which addresses Shavgulidze's new ArXiv post.
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| Nov 24, 2010 at 0:56 | history | edited | Justin Moore | CC BY-SA 2.5 |
added 33 characters in body
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| Nov 13, 2010 at 5:54 | comment | added | Yemon Choi | For me at least this information is most welcome (I had at one point tried to start working through Shavgulidze's paper, but found the style and the level too much for me). So thanks for sharing this. | |
| Nov 13, 2010 at 2:47 | history | answered | Justin Moore | CC BY-SA 2.5 |