EUDML | The regularity properties on the real line

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Displaying similar documents to “The regularity properties on the real line”

The axiom of choice for linearly ordered families

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John Truss (1974)

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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

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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.