Sh:1145

• Horowitz, H., & Shelah, S. (2022). \kappa-madness and definability. MLQ Math. Log. Q., 68(3), 346–351. arXiv: 1805.07048 MR: 4472782
• Abstract:
  Assuming the existence of a supercompact cardinal, we construct a model where, for some uncountable regular cardinal \kappa, there are no \Sigma^1_1(\kappa)-\kappa-mad families.
• Version 2021-12-03 (8p) published version (6p)

@article{Sh:1145,
 author = {Horowitz, Haim and Shelah, Saharon},
 title = {{{$\kappa$}-madness and definability}},
 journal = {MLQ Math. Log. Q.},
 fjournal = {MLQ. Mathematical Logic Quarterly},
 volume = {68},
 number = {3},
 year = {2022},
 pages = {346--351},
 issn = {0942-5616},
 mrnumber = {4472782},
 mrclass = {03E15 (03E35 03E47 03E55)},
 note = {\href{https://arxiv.org/abs/1805.07048}{arXiv: 1805.07048}},
 arxiv_number = {1805.07048}
}