Sh:497

• Shelah, S. (1997). Set theory without choice: not everything on cofinality is possible. Arch. Math. Logic, 36(2), 81–125. arXiv: math/9512227 DOI: 10.1007/s001530050057 MR: 1462202
• Abstract:
  We prove, in ZF+DC, if e.g. \mu=|\mathcal{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].
• Version 1995-12-04_11 (49p) published version (45p)

@article{Sh:497,
 author = {Shelah, Saharon},
 title = {{Set theory without choice: not everything on cofinality is possible}},
 journal = {Arch. Math. Logic},
 fjournal = {Archive for Mathematical Logic},
 volume = {36},
 number = {2},
 year = {1997},
 pages = {81--125},
 issn = {0933-5846},
 mrnumber = {1462202},
 mrclass = {03E05 (03E25 03E55)},
 doi = {10.1007/s001530050057},
 note = {\href{https://arxiv.org/abs/math/9512227}{arXiv: math/9512227}},
 arxiv_number = {math/9512227}
}