Indecomposable Homogeneous Plane Continua are Hereditarily Indecomposable

DOI10.2307/1997480zbMath0342.54026OpenAlexW4236183330MaRDI QIDQ4110316

Charles L. Hagopian

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997480

Mathematics Subject Classification ID

Continua and generalizations (54F15) Transformation groups and semigroups (topological aspects) (54H15) Topological characterizations of particular spaces (54F65) Pathological topological spaces (54G15) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Cellularity in topological manifolds (57N60)

Related Items (8)

No Homogeneous Tree-Like Continuum Contains an Arc ⋮ A Metric Form of Microtransitivity ⋮ The terminal hyperspace of homogeneous continua ⋮ Decompositions of Continua Over the Hyperbolic Plane ⋮ A complete classification of homogeneous plane continua ⋮ Outlet Points and Homogeneous Continua ⋮ An uncountable family of copies of a non-chainable tree-like continuum in the plane ⋮ Homogeneous continua in 2-manifolds

Cites Work

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• Transformation groups and \(C^ *\)-algebras
• A homogeneous indecomposable plane continuum
• On a Certain Type of Homogeneous Plane Continuum
• A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc
• On Homogeneous Hereditarily Unicoherent Continua
• A Note on the Pseudo-Arc
• Certain Homogeneous Unicoherent Indecomposable Continua

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