64 citations · 75 across the 13 of their papers we have counts for
4 papers · 1 filter
Borel* Sets in the Generalised Baire Space
Tapani Hyttinen, Vadim Kulikov
We start by giving a survey to the theory of Borel*(κ) sets in the generalized Baire space Baire(κ) = κ^κ. In particular we look at the relation of this complexity class to other c…
On Σ^1_1-complete Equivalence Relations on the Generalized Baire Space
Tapani Hyttinen, Vadim Kulikov
Working with uncountable structures of fixed cardinality, we investigate the complexity of certain equivalence relations and show that if V = L, then many of them are Σ^1_1-complet…
Generalized Descriptive Set Theory and Classification Theory
Sy-David Friedman, Tapani Hyttinen, Vadim Kulikov
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper we study the generalization where countable is replac…
Borel Reductions and Cub Games in Generalized Descriptive Set Theory
Vadim Kulikov
It is shown that the power set of ordered by the subset relation modulo various versions of the non-stationary deal can be embedded into the partial order of Borel equivalence…