64 citations · 75 across the 13 of their papers we have counts for
4 papers · 1 filter
Regularity Properties on the Generalized Reals
Sy-David Friedman, Yurii Khomskii, Vadim Kulikov
We investigate regularity properties derived from tree-like forcing notions in the setting of "generalized descriptive set theory", i.e., descriptive set theory on and ,…
On Borel Reducibility in Generalised Baire Space
Sy-David Friedman, Tapani Hyttinen, Vadim Kulikov
In this paper we study the Borel reducibility of Borel equivalence relations, including some orbit equivalence relations, on the generalised Baire space for an uncountable $κ…
Failures of the Silver Dichotomy in the Generalised Baire Space
Sy-David Friedman, Vadim Kulikov
We prove results that falsify Silver's dichotomy for Borel equivalence relations on the generalised Baire space under the assumption V=L.
Classification and Non-classification of Homeomorphism Relations
Vadim Kulikov
The paper deals with the program of determining the complexity of various homeomorphism relations. The homeomorphism relation on compact Polish spaces is known to be reducible to a…