The Pseudo-Circle is not Homogeneous

DOI10.2307/1995380zbMath0194.54802OpenAlexW4238103494MaRDI QIDQ5590625

James T. jun. Rogers

Publication date: 1970

Full work available at URL: https://doi.org/10.2307/1995380

zbMATH Keywords

topologypseudo-archereditarily indecomposable circle-like plane continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15)

Related Items (12)

\(1/\kappa \)-homogeneous long solenoids ⋮ Unnamed Item ⋮ Finite-sheeted covering spaces and a near local homeomorphism property for pseudosolenoids ⋮ A fixed point theorem for the pseudo-circle ⋮ Continuous curves of nonmetric pseudo-arcs and semi-conjugacies to interval maps ⋮ Pseudo-solenoids are not continuously homogeneous ⋮ Pseudocircles in Dynamical Systems ⋮ Orbits of the Pseudocircle ⋮ A complete classification of homogeneous plane continua ⋮ A short proof of nonhomogeneity of the pseudo-circle ⋮ A Cohomological Characterization of Preimages of Nonplanar, Circle-like Continua ⋮ Rotational chaos and strange attractors on the 2-torus

Cites Work

• Unnamed Item
• Unnamed Item
• Embeddings of inverse limits
• Pseudo-circles and universal circularly chainable continua
• A homogeneous indecomposable plane continuum
• Concerning hereditarily indecomposable continua
• Snake-like continua
• On a Certain Type of Homogeneous Plane Continuum
• Embedding Circle-Like Continua in the Plane
• Each Homogeneous Nondegenerate Chainable Continuum is a Pseudo-Arc
• Concerning Non-Planar Circle-Like Continua
• The Pseudo-Circle is not homogeneous
• The pseudo-circle is unique
• ε-Mappings Onto Polyhedra
• An Indecomposable Plane Continuum Which is Homeomorphic to Each of Its Nondegenerate Subcontinua
• Certain Homogeneous Unicoherent Indecomposable Continua

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