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arXiv · 1011.3578

Beginning of stability theory for Polish Spaces

Saharon Shelah
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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 gives strong evidence that such a theory exists.

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Saharon Shelah. 2010-11-16. Beginning of stability theory for Polish Spaces. https://doi.org/10.1007/s11856-016-1342-5

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