Homogeneous continua in 2-manifolds

DOI10.1016/0166-8641(85)90067-7zbMath0569.54035OpenAlexW2071536716MaRDI QIDQ1060734

Charles L. Hagopian

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90067-7

zbMATH Keywords

homogeneityindecomposable continuasolenoidpseudo-arcsimple closed curvemovability1-dimensional homogeneous continuumcontinua in 2-manifoldsplanar continuatree-like continuauncountably many triods

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological characterizations of particular spaces (54F65) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Cites Work

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• Atriodic homogeneous continua
• Homogeneous, separating plane continua are decomposable
• Embedding a circle of trees in the plane
• Decomposition and homogeneity of continua on a 2-manifold
• Monontone transformations of two-dimensional manifolds
• A homogeneous indecomposable plane continuum
• On a Certain Type of Homogeneous Plane Continuum
• Another Homogeneous Plane Continuum
• A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc
• Indecomposable Homogeneous Plane Continua are Hereditarily Indecomposable
• Decomposable circle-like continua
• A Characterization of Chainable Continua
• On movable compacta
• A Note on the Pseudo-Arc
• Certain Homogeneous Unicoherent Indecomposable Continua

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