# 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 (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] - published version (45p)

Bib entry

@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}, doi = {10.1007/s001530050057}, mrclass = {03E05 (03E25 03E55)}, mrnumber = {1462202}, mrreviewer = {N. H. Williams}, doi = {10.1007/s001530050057}, note = {\href{https://arxiv.org/abs/math/9512227}{arXiv: math/9512227}}, arxiv_number = {math/9512227} }