3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CA2013
The Class of Purely Unrectifiable Sets in the Hilbert Space is coanalytic-complete
Vadim Kulikov
The space of all closed subsets of is a Polish space. We show that the subset consisting of the purely 1-unrectifiable sets is $\Pii$-comp…
math.LO2012★ 3 cited
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…
math.LO2012
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…