Definable Davies' Theorem
classification
🧮 math.LO
keywords
daviessigmatheoremanalogueconstructibledefinableeveryfollowing
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We prove the following analogue of a Theorem of R.O. Davies: Every $\Sigma^1_2$ function $f:\R\times\R\to\R$ can be represented as a sum of rectangular $\Sigma^1_2$ functions if and only if all reals are constructible.
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