A short proof of nonhomogeneity of the pseudo-circle

DOI10.1090/S0002-9939-08-09605-6zbMath1158.54014arXiv0803.1139OpenAlexW2030913858MaRDI QIDQ3617606

Krystyna Trybulec Kuperberg, Kevin B. Gammon

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1139

zbMATH Keywords

homogeneousindecomposable continuumcomposantpseudo-arcpseudo-circle

Mathematics Subject Classification ID

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

Related Items (7)

\(1/\kappa \)-homogeneous long solenoids ⋮ Finite-sheeted covering spaces and a near local homeomorphism property for pseudosolenoids ⋮ New exotic minimal sets from pseudo-suspensions of Cantor systems ⋮ Relatively compact Siegel disks with non-locally connected boundaries ⋮ 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

Cites Work

• Homogeneous, separating plane continua are decomposable
• The fixed-point property for almost chainable homogeneous continua
• The pseudo-arc
• A homogeneous indecomposable plane continuum
• Concerning hereditarily indecomposable continua
• Each Homogeneous Nondegenerate Chainable Continuum is a Pseudo-Arc
• Orbits of the Pseudocircle
• An Orientation Reversing Homeomorphism of the Plane with Invariant Pseudo- Arc
• The Pseudo-Circle is not homogeneous
• The pseudo-circle is unique
• The Pseudo-Circle is not Homogeneous
• The Pseudo-Circle Is Unique
• An Indecomposable Plane Continuum Which is Homeomorphic to Each of Its Nondegenerate Subcontinua
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