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Non-genericity phenomenon in some ordered Fraisse classes

2010/10/04 by Konstantin Slutsky, Slutsky, Konstantin
Mathematics · #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Logic (math.LO) #Rings, Modules, and Algebras #math.DS #math.LO

paper · pdf · doi:10.48550/arxiv.1010.0462

20 pages, 2 figures

arxiv created 2010/10/04 · openalex publication_date 2010/10/04 · arxiv updated 2010/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every two-dimensional class of topological similarity, and hence every diagonal conjugacy class of pairs, is meager in the group of order preserving bijections of the rationals and in the group of automorphisms of the randomly ordered rational Urysohn space.

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