Forte Shinko

activity

20192026

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4 papers · 1 filter

math.LO2026

Hyperfiniteness of bounded-to-one actions of commutative monoids

Forte Shinko, Felix Weilacher, Jing Yu

A theorem of Dougherty--Jackson--Kechris states that any equivalence relation generated by a single Borel function is hypersmooth. A well-known open problem is whether this can be…

math.LO2024

Hyper-hyperfiniteness and complexity

Joshua Frisch, Forte Shinko, Zoltan Vidnyanszky

We show that if there exists a countable Borel equivalence relation which is hyper-hyperfinite but not hyperfinite then the complexity of hyperfinite countable Borel equivalence re…

math.LO2024

Asymptotic dimension and hyperfiniteness of generic Cantor actions

Sumun Iyer, Forte Shinko

We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relatio…

math.LO2020

Equidecomposition in cardinal algebras

Forte Shinko

Let $Γ$ be a countable group. A classical theorem of Thorisson states that if $X$ is a standard Borel $Γ$ -space and $μ$ and $ν$ are Borel probability measures on $X$ which agree on…