3 citations · 3 across the 4 of their papers we have counts for
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On -completeness of quasi-orders on
Tapani Hyttinen, Vadim Kulikov, Miguel Moreno
We prove under that the inclusion modulo the non-stationary ideal is a -complete quasi-order in the generalized Borel-reducibility hierarchy (). This improvement…
On large cardinals and generalized Baire spaces
David Asperó, Tapani Hyttinen, Vadim Kulikov +1
Working under large cardinal assumptions, we study the Borel-reducibility between equivalence relations modulo restrictions of the non-stationary ideal on some fixed cardinal .…
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…