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arxiv: 1909.03136 · v3 · pith:U4X54O5E · submitted 2019-09-06 · math.LO · math.GN

Group topologies on automorphism groups of homogeneous structures

Zaniar Ghadernezhad , Javier de la Nuez Gonz\'alez This is my paper

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classification math.LO math.GN
keywords automorphismgroupgroupsstructurestopologiesurysohncaseclassify
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We classify all group topologies coarser than the topology of stabilizers of finite sets in the case of automorphism groups of countable free-homogeneous structures, Urysohn space and Urysohn sphere, among other related results.

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  1. All mixed identities are singular in groups with no algebraicity

    math.GR 2026-06 unverdicted novelty 6.0

    Groups with an algebraicity-free action have every mixed identity singular.