No Homogeneous Tree-Like Continuum Contains an Arc

DOI10.2307/2045015zbMath0524.54025OpenAlexW4205355583MaRDI QIDQ3036262

Charles L. Hagopian

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2045015

zbMATH Keywords

homogeneitypseudo-archereditarily indecomposable continuumtree-like continuumtree chaindog-chases-rabbit principlearcless continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items

Simply connected homogeneous continua are not separated by arcs, (Non-)expansivity in functional envelopes, Outlet Points and Homogeneous Continua, On Tree-Like Continua which are Homogeneous with Respect to Confluent Light Mappings, Homogeneous curves that contain arcs

Cites Work

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• The Elusive Fixed Point Property
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• Certain Homogeneous Unicoherent Indecomposable Continua
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