Beginning of stability theory for Polish spaces

Saharon Shelah

doi:10.1007/s11856-016-1342-5

Beginning of stability theory for Polish spaces

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 N₀-stability. We succeed to prove existence of indiscernibles under reasonable conditions; this provides strong evidence that such a theory exists.

Original language	English
Pages (from-to)	507-537
Number of pages	31
Journal	Israel Journal of Mathematics
Volume	214
Issue number	2
DOIs	https://doi.org/10.1007/s11856-016-1342-5
State	Published - 1 Jul 2016

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Publisher Copyright:
© 2016, Hebrew University of Jerusalem.

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Beginning of stability theory for Polish spaces

Abstract

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