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Actions of finitely generated groups on the universal Menger curve

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Publication:2759002
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DOI10.1090/S0002-9939-01-06089-0zbMath0980.54027MaRDI QIDQ2759002

Kazuhiro Kawamura

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

homeomorphism group


Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)


Related Items (1)

Group actions on dendrites and curves



Cites Work

  • A characterization of the universal curve and a proof of its homogeneity
  • One-dimensional continuous curves and a homogeneity theorem
  • A survey on Menger manifold theory. -- Update
  • The Algebraic Simplicity of Certain Groups of Homeomorphisms
  • Free Actions of Zero-Dimensional Compact Groups on Menger Manifolds
  • Acyclicity of the groups of homeomorphisms of the Menger compact spaces
  • Characterizing 𝑘-dimensional universal Menger compacta
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