English

A note on Kuratowski partitions in metric spaces

Logic 2023-05-23 v2

Abstract

We prove that the existence of a complete metric space of cardinality at most 2κ2^{\kappa} admitting Kuratowski partition is a consequence of κ\kappa being the smallest real-valued measurable cardinal not greater than 20 2^{\aleph_0}.

Keywords

Cite

@article{arxiv.2303.16649,
  title  = {A note on Kuratowski partitions in metric spaces},
  author = {Joanna Jureczko},
  journal= {arXiv preprint arXiv:2303.16649},
  year   = {2023}
}