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

Bibliographic Details
Main Authors: González Hernández, Juan, Hernández Hernández, Fernando, Villarreal, César Emilio
Format: Article
Language:English
Published: 2007
Subjects:
Online Access:http://eprints.uanl.mx/1788/1/CommentatMathUnivCarolRetro_48-2007-4_6.pdf
Description
Summary: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