Group action on \(\mathbb R\times \mathbb Q\) and fine group topologies

DOI10.1016/j.topol.2008.11.013zbMath1163.54011OpenAlexW2109957996MaRDI QIDQ1009745

Anna Di Concilio

Publication date: 3 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.11.013

zbMATH Keywords

group actionWhitney topologyadmissibilityevaluation functionhomeomorphism groupuniform topologylimitation topologytopological group topologiesrim-compact spacesfine group topology with respect to a class of metricsfine uniform topologyfine uniform topology w.r.t. a class of metricsopen-cover topologyuniformity of uniform convergenceWeil uniformity

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Connections of general topology with other structures, applications (54H99)

Related Items (3)

Topologizing homeomorphism groups ⋮ \(C(X)\) related to its topological homeomorphism group ⋮ Unnamed Item

Cites Work

• Group action on zero-dimensional spaces
• Completeness properties of function spaces
• Fine topology on function spaces
• The topology of transformation-sets
• Autohomeomorphism groups
• Topologizing homeomorphism groups of rim-compact spaces
• Characterizing Hilbert space topology
• Limitation Topologies on Function Spaces
• Homeomorphism groups of manifolds and Erdos space
• Inductive compactness as a generalization of semicompactness
• Topologies for Homeomorphism Groups
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