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When is $ℝ$ the union of an increasing family of null sets?

Juan González-Hernández; Fernando Hernández-Hernández; César E. Villarreal — 2007

Commentationes Mathematicae Universitatis Carolinae

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 Sierpi'nski sets.

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