Uniqueness of Polish group topology

DOI10.1016/j.topol.2008.01.001zbMath1151.54029OpenAlexW2060462468MaRDI QIDQ924297

Bojana Pejić, P. M. Gartside

Publication date: 15 May 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.01.001

zbMATH Keywords

Lie groupPolish groupanalyticprofinite groupBorelidentity setsMackey's theoremunique Polish group topologyverbal sets

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Topological groups (topological aspects) (54H11) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (6)

Automatic continuity of abstract homomorphisms between locally compact and Polish groups ⋮ Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones ⋮ Polish topologies on endomorphism monoids of relational structures ⋮ The Poincaré and related groups are algebraically determined Polish groups ⋮ Bounded normal generation and invariant automatic continuity ⋮ Invariant automatic continuity for compact connected simple Lie groups

Cites Work

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• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Stetigkeitssätze für halbeinfache Liesche Gruppen
• Borel Structure in Groups and Their Duals
• Uniqueness Results for Homeomorphism Groups
• On the Measurability of Orbits in Borel Actions
• Representations of infinite permutations by words (II)
• The complexity of the set of squares in the homeomorphism group of the circle

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