Normal numbers and the Borel hierarchy
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.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/31304 |
| Acceso en línea: | http://hdl.handle.net/11336/31304 |
| Access Level: | acceso abierto |
| Palabra clave: | Normal Numbers Borel Hierarchy https://purl.org/becyt/ford/1.2 https://purl.org/becyt/ford/1 |
| Sumario: | 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. |
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