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arXiv · 2003.11017

On special partitions of metric spaces

Ryszard Frankiewicz·Joanna Jureczko
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Abstract

The main result of this paper is to show that, if $\kappa$ is the smallest real-valued measurable cardinal not greater than $ 2^{\aleph_0}$, then there exists a complete metric space of cardinality not greater than $ 2^{\kappa}$ admitting a Kuratowski partition.

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Ryszard Frankiewicz, Joanna Jureczko. 2020-03-23. On special partitions of metric spaces. https://arxiv.org/abs/2003.11017

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