Local product structures on homogeneous continua

DOI10.1016/0166-8641(89)90022-9zbMath0674.54024OpenAlexW2077520227MaRDI QIDQ1121550

Michael W. Mislove, James T. jun. Rogers

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0166-8641(89)90022-9

zbMATH Keywords

Effros propertycomponentscovering spacesolenoidhomogeneous continuumcompact, totally disconnected homogeneous metric spacehereditarily indecomposable continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Transformation groups and semigroups (topological aspects) (54H15) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (13)

Covering spaces of homogeneous continua ⋮ Homogeneous weak solenoids ⋮ Homeomorphisms of a solenoid isotopic to the identity and its second cohomology groups ⋮ Filament local product structures in homogeneous continua ⋮ The product structure of homogeneous spaces ⋮ Continuous curves of nonmetric pseudo-arcs and semi-conjugacies to interval maps ⋮ Homogeneous spaces and transitive actions by Polish groups ⋮ Growth and homogeneity of matchbox manifolds ⋮ Classifying homogeneous continua ⋮ A generalization of Hagopian's theorem and exponents ⋮ A complete classification of homogeneous plane continua ⋮ Manifold-like matchbox manifolds ⋮ Homogeneous matchbox manifolds

Cites Work

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• A characterization of solenoids
• Transformation groups and \(C^ *\)-algebras
• Peripherality in semigroups
• A finite dimensional homogeneous clan in a group
• Selected Selection Theorems
• A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc
• Topologies for Homeomorphism Groups

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