# Sh:849

• Shelah, S. (2016). Beginning of stability theory for Polish spaces. Israel J. Math., 214(2), 507–537.
• 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.
• Current version: 2017-04-07_12 (25p) published version (31p)
Bib entry
@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}
}