Normal numbers and the Borel hierarchy

We show that the set of absolutely normal numbers is0 3-complete in the Borel hierarchy of subsets of real numbers. Similarly, the set of absolutely normal numbers is 0 3-complete in the effective Borel hierarchy. © 2014 Instytut Matematyczny PAN.

Guardado en:
Detalles Bibliográficos
Autores principales: Becher, V., Heiber, P.A., Slaman, T.A.
Formato: JOUR
Materias:
Borel hierarchy
Descriptive set theory
Normal numbers
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00162736_v226_n1_p63_Becher
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We show that the set of absolutely normal numbers is0 3-complete in the Borel hierarchy of subsets of real numbers. Similarly, the set of absolutely normal numbers is 0 3-complete in the effective Borel hierarchy. © 2014 Instytut Matematyczny PAN.

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