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arXiv · 2303.16649

A note on Kuratowski partitions in metric spaces

Joanna Jureczko
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Abstract

We prove that the existence of a complete metric space of cardinality at most $2^{\kappa}$ admitting Kuratowski partition is a consequence of $\kappa$ being the smallest real-valued measurable cardinal not greater than $ 2^{\aleph_0}$.

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Joanna Jureczko. 2023-03-28. A note on Kuratowski partitions in metric spaces. https://arxiv.org/abs/2303.16649

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