The nonexistence of expansive polycyclic group actions on some Peano continua

DOI10.1007/s11784-024-01127-6MaRDI QIDQ6630784

Heng Liu, Zhi Wen Xie, Su Hua Wang

Publication date: 31 October 2024

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

polycyclic groupPeano continuumexpansivitylocal dendrite\(\theta\)-curve

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Continua theory in dynamics (37B45) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

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