A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc
From MaRDI portal
Publication:3266909
DOI10.4153/CJM-1960-018-xzbMath0091.36204MaRDI QIDQ3266909
Publication date: 1960
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Related Items (40)
\(1/\kappa \)-homogeneous long solenoids ⋮ Periodic points of solenoidal automorphisms in terms of inverse limits ⋮ Homogeneous weak solenoids ⋮ No Homogeneous Tree-Like Continuum Contains an Arc ⋮ A characterization of homogeneous plane continua that are circularly chainable ⋮ Dynamical Systems with Nontrivially Recurrent Invariant Manifolds ⋮ The geometry and fundamental groups of solenoid complements ⋮ Inverse Limit Sequences with Covering Maps ⋮ Openly homogeneous continua having only arcs for proper subcontinua ⋮ Saddle-type solenoidal basis sets ⋮ Local product structures on homogeneous continua ⋮ Embedding suspensions into hyperspace suspensions ⋮ Low-dimensional solenoidal manifolds ⋮ K-theory of co-existentially closed continua ⋮ Whitney Stability and Contractible Hyperspaces ⋮ Semigroups on Acyclic Plane Continua ⋮ No embeddings of solenoids into surfaces ⋮ Wild solenoids ⋮ Classifying matchbox manifolds ⋮ The Classification of Solenoids ⋮ Growth and homogeneity of matchbox manifolds ⋮ Nilpotent Cantor actions ⋮ Decompositions of Continua Over the Hyperbolic Plane ⋮ A complete classification of homogeneous plane continua ⋮ Outlet Points and Homogeneous Continua ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Fixed points of plane continua ⋮ Nonwandering set of Smale-Vietoris diffeomorphisms ⋮ Semigroups on chainable and circle-like continua ⋮ Local continuous near-homogeneity ⋮ Manifold-like matchbox manifolds ⋮ Unnamed Item ⋮ Hausdorff dimension in graph matchbox manifolds ⋮ Homogeneous matchbox manifolds ⋮ Indecomposable Homogeneous Plane Continua are Hereditarily Indecomposable ⋮ On fixed points of Knaster continua ⋮ Homogeneous continua in 2-manifolds ⋮ Inverse limits of arcs and of simple closed curves with confluent bonding mappings ⋮ Homogeneous curves that contain arcs ⋮ Actions on plane continua
This page was built for publication: A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc