arXiv Analytics

Sign in

arXiv:1011.3578 [math.LO]AbstractReferencesReviewsResources

Beginning of stability theory for Polish Spaces

Saharon Shelah

Published 2010-11-16, updated 2022-03-13Version 3

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 gives strong evidence that such a theory exists.

Journal: Israel J. of Mathematics 214(2), 507--537, (2016)
Categories: math.LO
Related articles: Most relevant | Search more
arXiv:2101.10088 [math.LO] (Published 2021-01-25)
Covering versus partitioning with Polish spaces
arXiv:2209.07768 [math.LO] (Published 2022-09-16)
The coloring principle for the product of polish spaces and the Halpern and Läuchli's theorem
arXiv:1701.03735 [math.LO] (Published 2017-01-13)
Classes of Polish spaces under effective Borel isomorphism

Links

Toolbox