Anti-classification results for groups acting freely on the line

DOI10.1016/j.aim.2023.108938OpenAlexW3092670483MaRDI QIDQ2692557

Assaf Shani, Filippo Calderoni, Luca Motto Ros, David Marker

Publication date: 22 March 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08049

zbMATH Keywords

Borel equivalence relationso-minimalityBorel reducibilityArchimedean ordered groupschoiceless modelscircularly ordered groups

Mathematics Subject Classification ID

Descriptive set theory (03E15) Applications of set theory (03E75) Axiomatics of classical set theory and its fragments (03E30) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64) Model theory of denumerable and separable structures (03C15)

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