When is R the union of an increasing family of null sets?
We study the problem in the title and show that it is equivalent to the fact that every set of reals is an increasing union of measurable sets. We also show the relationship of it with Sierpin’ski sets
Autores principales: | , , |
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Formato: | Artículo |
Lenguaje: | inglés |
Publicado: |
2007
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Materias: | |
Acceso en línea: | http://eprints.uanl.mx/1788/1/CommentatMathUnivCarolRetro_48-2007-4_6.pdf |
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author | González Hernández, Juan Hernández Hernández, Fernando Villarreal, César Emilio |
author_facet | González Hernández, Juan Hernández Hernández, Fernando Villarreal, César Emilio |
author_sort | González Hernández, Juan |
collection | Repositorio Institucional |
description | We study the problem in the title and show that it is equivalent to the fact that every set of reals is an increasing union of measurable sets. We also show the relationship of it with Sierpin’ski sets |
format | Article |
id | eprints-1788 |
institution | UANL |
language | English |
publishDate | 2007 |
record_format | eprints |
spelling | eprints-17882024-03-07T18:17:06Z http://eprints.uanl.mx/1788/ When is R the union of an increasing family of null sets? González Hernández, Juan Hernández Hernández, Fernando Villarreal, César Emilio Q Ciencias en General We study the problem in the title and show that it is equivalent to the fact that every set of reals is an increasing union of measurable sets. We also show the relationship of it with Sierpin’ski sets 2007 Article PeerReviewed application/pdf en http://eprints.uanl.mx/1788/1/CommentatMathUnivCarolRetro_48-2007-4_6.pdf http://eprints.uanl.mx/1788/1.haspreviewThumbnailVersion/CommentatMathUnivCarolRetro_48-2007-4_6.pdf González Hernández, Juan y Hernández Hernández, Fernando y Villarreal, César Emilio (2007) When is R the union of an increasing family of null sets? Commentationes Mathenaticae Universitatis Carolinae, 48 (4). pp. 623-630. ISSN 1213-7243 |
spellingShingle | Q Ciencias en General González Hernández, Juan Hernández Hernández, Fernando Villarreal, César Emilio When is R the union of an increasing family of null sets? |
thumbnail | https://rediab.uanl.mx/themes/sandal5/images/online.png |
title | When is R the union of an increasing family of null sets? |
title_full | When is R the union of an increasing family of null sets? |
title_fullStr | When is R the union of an increasing family of null sets? |
title_full_unstemmed | When is R the union of an increasing family of null sets? |
title_short | When is R the union of an increasing family of null sets? |
title_sort | when is r the union of an increasing family of null sets |
topic | Q Ciencias en General |
url | http://eprints.uanl.mx/1788/1/CommentatMathUnivCarolRetro_48-2007-4_6.pdf |
work_keys_str_mv | AT gonzalezhernandezjuan whenisrtheunionofanincreasingfamilyofnullsets AT hernandezhernandezfernando whenisrtheunionofanincreasingfamilyofnullsets AT villarrealcesaremilio whenisrtheunionofanincreasingfamilyofnullsets |