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/