English

On special partitions of metric spaces

Logic 2020-12-22 v4

Abstract

The main result of this paper is to show that, if κ\kappa is the smallest real-valued measurable cardinal not greater than 20 2^{\aleph_0}, then there exists a complete metric space of cardinality not greater than 2κ 2^{\kappa} admitting a Kuratowski partition.

Keywords

Cite

@article{arxiv.2003.11017,
  title  = {On special partitions of metric spaces},
  author = {Ryszard Frankiewicz and Joanna Jureczko},
  journal= {arXiv preprint arXiv:2003.11017},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:2003.10307