2015Fundamenta MathematicaeOpen access

On Borel reducibility in generalized Baire space

Sy‐David Friedman, Tapani Hyttinen, Vadim Kulikov

Open full text 6 citations

Abstract

We study the Borel reducibility of Borel equivalence relations on the generalized Baire space $\kappa ^\kappa $ for an uncountable $\kappa $ with $\kappa ^{<\kappa }=\kappa $. The theory looks quite different from its classical counterpart where $\kappa =

Open-access reader

About this research paper

What this paper is about

We study the Borel reducibility of Borel equivalence relations on the generalized Baire space $\kappa ^\kappa $ for an uncountable $\kappa $ with $\kappa ^{<\kappa }=\kappa $. The theory looks quite different from its classical counterpart where $\kappa =

Why it matters

OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We study the Borel reducibility of Borel equivalence relations on the generalized Baire space $\kappa ^\kappa $ for an uncountable $\kappa $ with $\kappa ^{<\kappa }=\kappa $. The theory looks quite different from its classical counterpart where $\kappa =

Key concepts: Uncountable set, Mathematics, Kappa, Baire measure, Baire space, Borel equivalence relation, Polish space, Borel hierarchy

Related papers

Back to paper searchBrowse research topicsOriginal source
On Borel reducibility in generalized Baire space — Research Paper | ScholarLens