The Nonexistence of Expansive Homeomorphisms of 1-Dimensional Compact ANRS

DOI10.2307/2047723zbMath0678.58028OpenAlexW4243718557MaRDI QIDQ3834757

Hisao Kato

Publication date: 1990

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

Full work available at URL: https://doi.org/10.2307/2047723

zbMATH Keywords

circlearcPeano continuumnon-expansive homeomorphism

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dynamical systems with hyperbolic behavior (37D99)

Related Items (9)

The nonexistence of expansive \(\mathbb Z^n\) actions on Peano continua that contain no \(\theta\)-curves ⋮ The nonexistence of sensitive commutative group actions on dendrites ⋮ The nonexistence of sensitive commutative group actions on graphs ⋮ The nonexistence of expansive commutative group actions on Peano continua having free dendrites ⋮ Embeddability into the plane and movability on inverse limits of graphs whose shift maps are expansive ⋮ Expansive homeomorphisms in continuum theory ⋮ The Nonexistence of Expansive \(\mathbb Z^d\) actions on graphs ⋮ The nonexistence of expansive homeomorphisms of Peano continua in the plane ⋮ Concerning continuum-wise fully expansive homeomorphisms of continua

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