Sh:849

• Shelah, S. (2016). Beginning of stability theory for Polish spaces. Israel J. Math., 214(2), 507–537. arXiv: 1011.3578 DOI: 10.1007/s11856-016-1342-5 MR: 3544691
• Abstract:
  We consider stability theory for Polish spaces, and more generally, for definable structures (say with elements of a set of reals). We clarify by proving some equivalent conditions for \aleph_0-stability. We succeed to prove existence of indiscernibles under reasonable conditions; this provides strong evidence that such a theory exists.
• Version 2017-04-07_12 (25p) published version (31p)

@article{Sh:849,
 author = {Shelah, Saharon},
 title = {{Beginning of stability theory for Polish spaces}},
 journal = {Israel J. Math.},
 fjournal = {Israel Journal of Mathematics},
 volume = {214},
 number = {2},
 year = {2016},
 pages = {507--537},
 issn = {0021-2172},
 mrnumber = {3544691},
 mrclass = {03C45 (03E15 03E35)},
 doi = {10.1007/s11856-016-1342-5},
 note = {\href{https://arxiv.org/abs/1011.3578}{arXiv: 1011.3578}},
 arxiv_number = {1011.3578}
}