AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS

DOI10.1017/S1474748017000135MaRDI QIDQ4634343

Marcin Sabok

Publication date: 7 May 2019

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5141

zbMATH Keywords

automatic continuityisometry groupsUrysohn spacePolish groups

Mathematics Subject Classification ID

Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (13)

All those EPPA classes (strengthenings of the Herwig–Lascar theorem) ⋮ AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS – ERRATUM ⋮ Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones ⋮ Polish topologies on endomorphism monoids of relational structures ⋮ Pettis property for Polish inverse semigroups ⋮ Bounded normal generation and invariant automatic continuity ⋮ Topological groups all continuous automorphisms of which are open ⋮ Polish groups and Baire category methods ⋮ Extending partial isometries of antipodal graphs ⋮ The Hrushovski property for hypertournaments and profinite topologies ⋮ A combinatorial proof of the extension property for partial isometries ⋮ Isometry groups of Borel randomizations ⋮ Polish topologies on groups of non-singular transformations

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