Normal numbers and the Borel hierarchy

Becher, Veronica Andrea; Heiber, Pablo Ariel; Slaman, Theodore A.

Artículos de revistas

Fecha

2014-02

Registro en:

Slaman, Theodore A.; Heiber, Pablo Ariel; Becher, Veronica Andrea; Normal numbers and the Borel hierarchy; Polish Academy of Sciences. Institute of Mathematics; Fundamenta Mathematicae; 226; 2-2014; 63-77

0016-2736

http://hdl.handle.net/11336/31304

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1861516

Autor

Becher, Veronica Andrea

Heiber, Pablo Ariel

Slaman, Theodore A.

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We show that the set of absolutely normal numbers is Π03-complete in the Borel hierarchy of subsets of real numbers. Similarly, the set of absolutely normal numbers is Π03-complete in the effective Borel hierarchy.

Materias

NORMAL NUMBERS

BOREL HIERARCHY

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