Comparisons of benchmark equivalence relations

We determine the Borel-reducibility comparison of each pair of $\mathbfΠ^0_3$ benchmark equivalence relations in Gao's monograph. The additional comparisons we prove are $E_\infty\leq_B c_0$, $E_\infty\nleq_B\ell_p$ for $2

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-26
DOI
https://doi.org/10.48550/arxiv.2610.35025
Primary Topic
Advanced Topology and Set Theory
Type
preprint
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preprint

Comparisons of benchmark equivalence relations

Ruijun Wang
arXiv (Cornell University)
Advanced Topology and Set Theory
preprint

Comparisons of benchmark equivalence relations

Ruijun Wang
preprint en

Abstract

We determine the Borel-reducibility comparison of each pair of $\mathbfΠ^0_3$ benchmark equivalence relations in Gao's monograph. The additional comparisons we prove are $E_\infty\leq_B c_0$, $E_\infty\nleq_B\ell_p$ for $2

arXiv (Cornell University)
Advanced Topology and Set Theory
DOIOpen Access PDFOpenAlex
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Comparisons of benchmark equivalence relations — Ruijun Wang · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS