Fixed point properties of nilpotent group actions on 1-arcwise connected continua

DOI10.1090/S0002-9939-08-09522-1zbMath1160.54032MaRDI QIDQ3605834

En Hui Shi, Bin Yong Sun

Publication date: 25 February 2009

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

zbMATH Keywords

nilpotent groupfixed point1-arcwise connected continuum

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (18)

Pointwise recurrent one-dimensional flows ⋮ Homeomorphisms of locally finite graphs ⋮ Dendrite flows ⋮ TOPOLOGICAL TRANSITIVITY AND CHAOS OF GROUP ACTIONS ON DENDRITES ⋮ Group action on local dendrites ⋮ A note on fixed points of abelian actions in dimension one ⋮ Flows of locally finite graphs ⋮ Periodic points of solvable group actions on 1-arcwise connected continua ⋮ Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point ⋮ Equicontinuous actions on semi-locally connected and local dendrites ⋮ Minimal sets for group actions on dendrites ⋮ Periodic points for amenable group actions on dendrites ⋮ Minimal group actions on dendrites ⋮ AUSLANDER–YORKE CHAOS FOR GROUP ACTIONS ON DENDRITES ⋮ Minimal sets and orbit spaces for group actions on local dendrites ⋮ Periodic points for amenable group actions on uniquely arcwise connected continua ⋮ On properties of expansive group actions ⋮ Fixed points for nilpotent actions on the plane and the Cartwright-Littlewood theorem

Cites Work

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• Fixed-Point Theorems for Arcwise Connected Continua
• The Fixed Point Property for Homeomorphisms of 1-Arcwise Connected Continua
• On spirals and fixed point property
• The Elusive Fixed Point Property
• Fixed points of arcwise connected spaces

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