Representing countable groups by homeomorphism groups in Hilbert space

DOI10.1007/BF01456944zbMath0468.57016MaRDI QIDQ1156397

Jan van Mill

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163635

zbMATH Keywords

autohomeomorphism grouppartition of Hilbert spacerepresenting countable groups by homeomorphism groups in Hilbert space

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38) Special aspects of infinite or finite groups (20F99) Topology of infinite-dimensional manifolds (57N20)

Related Items (2)

Every totally disconnected separable metrizable topological group is an autohomeomorphism group ⋮ A Topological Group Having no Homeomorphisms Other than Translations

Cites Work

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• Rigid continua and topological group-pictures
• Groups represented by homeomorphism groups. I
• On topological infinite deficiency
• Strong Local Homogeneity Does not Imply Countable Dense Homogeneity
• A Fake Topological Hilbert Space
• Hilbert space is homeomorphic to the countable infinite product of lines

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