# Sh:775

- Shelah, S. (2005).
*Super black box (ex. Middle diamond)*. Arch. Math. Logic,**44**(5), 527–560. arXiv: math/0212249 DOI: 10.1007/s00153-004-0239-x MR: 2210145 -
Abstract:

Under some cardinal arithmetic assumptions, we prove that many stationary subsets of \lambda of a right cofinality has the “middle diamond”. In particular, for many regular \kappa for every large enough regular \lambda we have the middle diamond on \{\delta<\lambda:{\rm cf}(\delta)=\kappa\}. This is a strong negation of uniformization. - Version 2019-04-22_10 (46p) published version (34p)

Bib entry

@article{Sh:775, author = {Shelah, Saharon}, title = {{Super black box (ex. Middle diamond)}}, journal = {Arch. Math. Logic}, fjournal = {Archive for Mathematical Logic}, volume = {44}, number = {5}, year = {2005}, pages = {527--560}, issn = {0933-5846}, mrnumber = {2210145}, mrclass = {03E05 (03E10 03E50 03E55)}, doi = {10.1007/s00153-004-0239-x}, note = {\href{https://arxiv.org/abs/math/0212249}{arXiv: math/0212249}}, arxiv_number = {math/0212249} }