On Borel reducibility in generalized Baire space

Sy-David Friedman; Tapani Hyttinen; Vadim Kulikov

Fundamenta Mathematicae (2015)

  • Volume: 231, Issue: 3, page 285-298
  • ISSN: 0016-2736

Abstract

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We study the Borel reducibility of Borel equivalence relations on the generalized Baire space κ κ for an uncountable κ with κ < κ = κ . The theory looks quite different from its classical counterpart where κ = ω, although some basic theorems do generalize.

How to cite

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Sy-David Friedman, Tapani Hyttinen, and Vadim Kulikov. "On Borel reducibility in generalized Baire space." Fundamenta Mathematicae 231.3 (2015): 285-298. <http://eudml.org/doc/282617>.

@article{Sy2015,
abstract = {We study the Borel reducibility of Borel equivalence relations on the generalized Baire space $κ^\{κ\}$ for an uncountable κ with $κ^\{<κ\} = κ$. The theory looks quite different from its classical counterpart where κ = ω, although some basic theorems do generalize.},
author = {Sy-David Friedman, Tapani Hyttinen, Vadim Kulikov},
journal = {Fundamenta Mathematicae},
keywords = {generalized Baire space; Borel reducibility; orbit equivalence relations},
language = {eng},
number = {3},
pages = {285-298},
title = {On Borel reducibility in generalized Baire space},
url = {http://eudml.org/doc/282617},
volume = {231},
year = {2015},
}

TY - JOUR
AU - Sy-David Friedman
AU - Tapani Hyttinen
AU - Vadim Kulikov
TI - On Borel reducibility in generalized Baire space
JO - Fundamenta Mathematicae
PY - 2015
VL - 231
IS - 3
SP - 285
EP - 298
AB - We study the Borel reducibility of Borel equivalence relations on the generalized Baire space $κ^{κ}$ for an uncountable κ with $κ^{<κ} = κ$. The theory looks quite different from its classical counterpart where κ = ω, although some basic theorems do generalize.
LA - eng
KW - generalized Baire space; Borel reducibility; orbit equivalence relations
UR - http://eudml.org/doc/282617
ER -

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