English

Set theory without choice: not everything on cofinality is possible

Logic 2008-02-03 v1

Abstract

We prove (ZF+DC) e.g. : if mu =|H(mu)| then mu^+ is regular non measurable. This is in contrast with the results for mu = aleph_{omega} on measurability see Apter Magidor [ApMg]

Keywords

Cite

@article{arxiv.math/9512227,
  title  = {Set theory without choice: not everything on cofinality is possible},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9512227},
  year   = {2008}
}