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)

@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}
}