activity
20122018
most citedGeneralized Descriptive Set Theory and Classification Theory

64 citations · 75 across the 13 of their papers we have counts for

collaborators

14 papers

cs.LO2018

Facets of Distribution Identities in Probabilistic Team Semantics

Miika Hannula, Åsa Hirvonen, Juha Kontinen +2

We study probabilistic team semantics which is a semantical framework allowing the study of logical and probabilistic dependencies simultaneously. We examine and classify the expre…

math.LO2018

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…

math.LO2017

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 .…

math.LO2016★ 2 cited

A Borel-reducibility Counterpart of Shelah's Main Gap Theorem

Tapani Hyttinen, Vadim Kulikov, Miguel Moreno

We study the Borel-reducibility of isomorphism relations of complete first order theories and show the consistency of the following: For all such theories T and T', if T is classif…

math.GT2015★ 5 cited

A Non-classification Result for Wild Knots

Vadim Kulikov

Using methods of descriptive theory it is shown that the classification problem for wild knots is strictly harder than that for countable structures.

math.LO2014★ 1 cited

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 ,…