Uniqueness Results for Homeomorphism Groups

DOI10.2307/2000162zbMath0597.57019OpenAlexW4231590392MaRDI QIDQ3730671

Robert R. Kallman

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000162

zbMATH Keywords

Cantor setHilbert cube manifoldhomeomorphism groupdifferentiable manifoldcomplete separable metric groupseparable metric manifold

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items

Autohomeomorphism groups ⋮ Mathematical problems and games ⋮ Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones ⋮ Polish topologies on endomorphism monoids of relational structures ⋮ Algebraically determined topologies on permutation groups. ⋮ The Poincaré and related groups are algebraically determined Polish groups ⋮ The infinite unitary and related groups are algebraically determined Polish groups ⋮ Uniqueness of Polish group topology ⋮ AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS ⋮ Uniqueness of the group topology of some homeomorphism groups ⋮ Compact leaves of structurally stable foliations ⋮ Topological properties of Ważewski dendrite groups ⋮ An algebraic characterization of stability groups

Cites Work

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• On isomorphic groups and homeomorphic spaces
• Borel Structure in Groups and Their Duals
• On a Class of Transformation Groups
• The Algebraic Simplicity of Certain Groups of Homeomorphisms
• Isomorphisms between diffeomorphism groups
• On continuity and smoothness of group actions