English

Models of real-valued measurability

Logic 2016-08-16 v3

Abstract

Solovay's random-real forcing (1971) is the standard way of producing real-valued measurable cardinals. Following questions of Fremlin, by giving a new construction, we show that there are combinatorial, measure-theoretic properties of Solovay's model that do not follow from the existence of real-valued measurability.

Keywords

Cite

@article{arxiv.math/0601087,
  title  = {Models of real-valued measurability},
  author = {Sakaé Fuchino and Noam Greenberg and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0601087},
  year   = {2016}
}

Comments

23 pages. Minor changes; added reference