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	American 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

Bibliographical note

Publisher Copyright:
©2014 London Mathematical Society.

Access to Document

10.1112/jlms/jdu041

Cite this

@article{235dbc425d7548728cb780e514c4d2d7,

title = "The Borel cardinality of Lascar strong types",

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).",

author = "Itay Kaplan and Miller, {Benjamin D.} and Pierre Simon",

note = "Publisher Copyright: {\textcopyright}2014 London Mathematical Society.",

year = "2014",

month = oct,

day = "1",

doi = "10.1112/jlms/jdu041",

language = "American English",

volume = "90",

pages = "609--630",

journal = "Journal of the London Mathematical Society",

issn = "0024-6107",

publisher = "John Wiley and Sons Ltd",

number = "2",

}

TY - JOUR

T1 - The Borel cardinality of Lascar strong types

AU - Kaplan, Itay

AU - Miller, Benjamin D.

AU - Simon, Pierre

PY - 2014/10/1

Y1 - 2014/10/1

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=84929160822&partnerID=8YFLogxK

U2 - 10.1112/jlms/jdu041

DO - 10.1112/jlms/jdu041

M3 - Article

AN - SCOPUS:84929160822

SN - 0024-6107

VL - 90

SP - 609

EP - 630

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 2

ER -

The Borel cardinality of Lascar strong types

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this