English

Beginning of stability theory for Polish Spaces

Logic 2022-03-15 v3

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 0\aleph_0-stability. We succeed to prove existence of indiscernibles under reasonable conditions; this gives strong evidence that such a theory exists.

Keywords

Cite

@article{arxiv.1011.3578,
  title  = {Beginning of stability theory for Polish Spaces},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:1011.3578},
  year   = {2022}
}