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J. Jureczko

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Preprint Sep 2026

On Banach and Kuratowski Theorem and generalized strong sequences

In 1929, Banach and Kuratowski proved under CH a combinatorial theorem, which implies that there is not a non-vanishing $\sigma$-additive finite measure on $\mathbb{R}$ which is defined for every set of reals. In 2003 Bartoszy\'nski and Halbeisen proved that Banach and Kuratowski theorem is equivalent to the existence...

J. Jureczko · 0 citations