Talk:Alexander S. Kechris

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Statement origin

"He has made major contributions to the theory of Borel equivalence relations and the theory of automorphism groups of uncountable structures"

What supports this statement?--93.86.33.191 (talk) 20:15, 21 April 2017 (UTC)

Isn't the Karp price convincing enough? Boris Tsirelson (talk) 20:22, 21 April 2017 (UTC)

 

Well, Harrington–Kechris–Louveau (the empty gap between R and E₀) is pretty much the beginning of the study of Borel equivalence relations as a separate topic, and Classical Descriptive Set Theory was probably the main book reference prior to Gao's Invariant Descriptive Set Theory. I admit I don't know where to find a specific cite for the claim. The automorphism-group stuff I don't remember much about; did I write that? --Trovatore (talk) 20:25, 21 April 2017 (UTC)

No, you did not: this diff. Boris Tsirelson (talk) 20:49, 21 April 2017 (UTC)

Thanks. Hard to remember sometimes, and I was too lazy to check the history. --Trovatore (talk) 21:11, 21 April 2017 (UTC)

@ Boris Tsirelson. Thank you. Fair enough for the first part of the statement. How about "and the theory of automorphism groups of uncountable structures", the second part?--93.86.33.191 (talk) 05:49, 22 April 2017 (UTC)

I am not an expert here; Trovatore should know more. Indeed, now I wonder, why "uncountable"? It seems, Kechris investigated countable... About uncountable, I see arXiv:1111.4995 by Dana Bartosova (2011), generalizing results of Kechris et al from countable to uncountable. Hmmm. Boris Tsirelson (talk) 07:12, 22 April 2017 (UTC)

We can leave the statement unchanged. Maybe, the person who entered this statement might be back and provide the answer.--93.86.33.191 (talk) 08:33, 23 April 2017 (UTC)

Philosopher?

Mathematician - yes, but philosopher? I do not see sources supporting this claim.--93.86.33.191 (talk) 08:33, 23 April 2017 (UTC)

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