The Borel cardinality of Lascar strong types

Itay Kaplan; Benjamin D. Miller; Pierre Simon

doi:10.1112/jlms/jdu041

The Borel cardinality of Lascar strong types

Itay Kaplan
, Benjamin D. Miller
, Pierre Simon

Einstein Institute of Mathematics

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

11 Scopus citations

Abstract

We show that if the restriction of the Lascar equivalence relation to a KP strong type is non-trivial, then it is non-smooth (when viewed as a Borel equivalence relation on an appropriate space of types).

Original language	English
Pages (from-to)	609-630
Number of pages	22
Journal	Journal of the London Mathematical Society
Volume	90
Issue number	2
DOIs	https://doi.org/10.1112/jlms/jdu041
State	Published - 1 Oct 2014

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©2014 London Mathematical Society.

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abstract = "We show that if the restriction of the Lascar equivalence relation to a KP strong type is non-trivial, then it is non-smooth (when viewed as a Borel equivalence relation on an appropriate space of types).",

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The Borel cardinality of Lascar strong types

Abstract

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