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- W2893989248 abstract "We introduce a new invariant of Borel reducibility, namely the notion of thickness; this associates to every sentence $Phi$ of $mathcal{L}_{omega_1 omega}$ and to every cardinal $lambda$, the thickness $tau(Phi, lambda)$ of $Phi$ at $lambda$. As applications, we show that all the Friedman-Stanley jumps of torsion abelian groups are non-Borel complete. We also show that under the existence of large cardinals, if $Phi$ is a sentence of $mathcal{L}_{omega_1 omega}$ with the Schroder-Bernstein property (that is, whenever two countable models of $Phi$ are biembeddable, then they are isomorphic), then $Phi$ is not Borel complete." @default.
- W2893989248 created "2018-10-05" @default.
- W2893989248 creator A5083331079 @default.
- W2893989248 date "2018-10-01" @default.
- W2893989248 modified "2023-09-27" @default.
- W2893989248 title "Borel Complexity and the Schroder-Bernstein Property" @default.
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