Borel σ-algebra on ℝ has cardinality continuum

E1758088 UNEXPLORED

The statement that the Borel σ-algebra on ℝ has cardinality continuum expresses the fact that the collection of all Borel subsets of the real line is uncountable but has the same cardinality as ℝ itself.

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Borel set cardinalityProperty Borel σ-algebra on ℝ has cardinality continuum