Geodesic
Definable Davies' theorem
Asger Törnquist 1   ; William Weiss 2
1 Kurt Gödel Research Center University of Vienna Währinger Strasse 25 1090 Wien, Austria
2 Department of Mathematics University of Toronto 40 St. George Street, Room 6092 Toronto, Ontario, Canada
Fundamenta Mathematicae, Tome 205 (2009) no. 1, pp. 77-89 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove the following descriptive set-theoretic analogue of a theorem of R.~O.~Davies: Every $\Sigma^1_2$ function $f:\mathbb R\times\mathbb R\to\mathbb R$ can be represented as a sum of rectangular $\Sigma^1_2$ functions if and only if all reals are constructible.
DOI : 10.4064/fm205-1-4
Keywords: prove following descriptive set theoretic analogue theorem davies every sigma function mathbb times mathbb mathbb represented sum rectangular sigma functions only reals constructible

Asger Törnquist  1   ; William Weiss  2

1 Kurt Gödel Research Center University of Vienna Währinger Strasse 25 1090 Wien, Austria
2 Department of Mathematics University of Toronto 40 St. George Street, Room 6092 Toronto, Ontario, Canada 
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Asger Törnquist; William Weiss. Definable Davies' theorem. Fundamenta Mathematicae, Tome 205 (2009) no. 1, pp. 77-89. doi: 10.4064/fm205-1-4

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