We study the Borel reducibility of Borel equivalence relations on the generalized Baire space for an uncountable κ with . The theory looks quite different from its classical counterpart where κ = ω, although some basic theorems do generalize.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-3-4,
author = {Sy-David Friedman and Tapani Hyttinen and Vadim Kulikov},
title = {On Borel reducibility in generalized Baire space},
journal = {Fundamenta Mathematicae},
volume = {228},
year = {2015},
pages = {285-298},
zbl = {06481156},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-3-4}
}
Sy-David Friedman; Tapani Hyttinen; Vadim Kulikov. On Borel reducibility in generalized Baire space. Fundamenta Mathematicae, Tome 228 (2015) pp. 285-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-3-4/