Topological type of the group of uniform homeomorphisms of the real line

DOI10.1016/J.TOPOL.2010.12.004zbMath1210.57025OpenAlexW2049160018MaRDI QIDQ627705

Tatsuhiko Yagasaki, Atsushi Yamashita, Kotaro Mine, Katsuro Sakai

Publication date: 3 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.12.004

zbMATH Keywords

infinite-dimensional manifoldsuniform homeomorphism

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Topology of infinite-dimensional manifolds (57N20)

Related Items (2)

Local and end deformation theorems for uniform embeddings ⋮ Groups of uniform homeomorphisms of covering spaces

Cites Work

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• Classifying homeomorphism groups of infinite graphs
• Embeddings of infinite-dimensional manifold pairs and remarks on stability and deficiency
• Infinite-dimensional manifold triples of homeomorphism groups
• Characterizing manifolds modeled on certain dense subspaces of non-separable Hilbert spaces.
• Topological groups and convex sets homeomorphic to non-separable Hilbert spaces
• Characterizing Hilbert space topology
• Using Flows to Construct Hilbert Space Factors of Function Spaces
• On hyperspaces and homeomorphism groups homeomorphic to products of absorbing sets and \(R^\infty\)

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