Positively regular homeomorphisms of Euclidean spaces

DOI10.1016/0166-8641(80)90022-XzbMath0434.57028MaRDI QIDQ1139843

R. Daniel Mauldin, Beverly L. Brechner

Publication date: 1980

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

zbMATH Keywords

contractionsbounded positive semi-orbithomeomorphisms with equicontinuous positive iteratesperiodic homeomorphismsregular homeomorphisms of Euclidean spaces

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Transformation groups and semigroups (topological aspects) (54H15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological characterizations of particular spaces (54F65) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (2)

Positively equicontinuous flows ⋮ Mapping Cylinder Neighborhoods in the Plane

Cites Work

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• Homeomorphisms of the plane
• On stable homeomorphisms and imbeddings of the pseudo arc
• Weakly almost periodic homeomorphisms of the two sphere
• On homeomorphisms of the plane which have no fixed points
• Newman's theorems on transformation groups
• Fixed Points of Pointwise Almost Periodic Homeomorphisms on the Two-Sphere
• A THEOREM ON PERIODIC TRANSFORMATIONS OF SPACES
• An embedding theorem for contracting homeomorphisms
• A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines
• A Topological Characterization of the Dilation in E n
• Remarks on the theory of prime ends
• Plane continua admitting non-periodic autohomeo morphisms with equicontinuous iterates
• Almost periodic homeomorphisms of \(E^2\) are periodic
• Some fixed point theorems

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