Normal numbers and the Borel hierarchy

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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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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
id todo:paper_00162736_v226_n1_p63_Becher
record_format dspace
spelling todo:paper_00162736_v226_n1_p63_Becher2023-10-03T14:13:58Z Normal numbers and the Borel hierarchy Becher, V. Heiber, P.A. Slaman, T.A. Borel hierarchy Descriptive set theory Normal numbers 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. Fil:Becher, V. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Heiber, P.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00162736_v226_n1_p63_Becher
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Borel hierarchy
Descriptive set theory
Normal numbers
spellingShingle Borel hierarchy
Descriptive set theory
Normal numbers
Becher, V.
Heiber, P.A.
Slaman, T.A.
Normal numbers and the Borel hierarchy
topic_facet Borel hierarchy
Descriptive set theory
Normal numbers
description 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.
format JOUR
author Becher, V.
Heiber, P.A.
Slaman, T.A.
author_facet Becher, V.
Heiber, P.A.
Slaman, T.A.
author_sort Becher, V.
title Normal numbers and the Borel hierarchy
title_short Normal numbers and the Borel hierarchy
title_full Normal numbers and the Borel hierarchy
title_fullStr Normal numbers and the Borel hierarchy
title_full_unstemmed Normal numbers and the Borel hierarchy
title_sort normal numbers and the borel hierarchy
url http://hdl.handle.net/20.500.12110/paper_00162736_v226_n1_p63_Becher
work_keys_str_mv AT becherv normalnumbersandtheborelhierarchy
AT heiberpa normalnumbersandtheborelhierarchy
AT slamanta normalnumbersandtheborelhierarchy
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