Fixed-point-free maps on tree-like continua

DOI10.1016/0166-8641(82)90010-4zbMath0478.54028OpenAlexW2095369889MaRDI QIDQ1161175

Lex G. Oversteegen, James T. jun. Rogers

Publication date: 1982

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90010-4

zbMATH Keywords

fixed-point propertyinduced mapinverse limit of treesbonding mapsatriodic tree-like continuumfixed point free homeomorphism

Mathematics Subject Classification ID

Continua and generalizations (54F15) Fixed-point and coincidence theorems (topological aspects) (54H25) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Spectra in general topology (54B35)

Related Items (14)

A Fixed Point Theorem for Inverse Limits of Fans ⋮ Topological entropy of diagonal maps on inverse limit spaces ⋮ Group actions on dendrites and curves ⋮ Unnamed Item ⋮ Some fixed point theorems for tree-like continua ⋮ A Periodic Point Free Homeomorphism of a Tree-Like Continuum ⋮ A fixed-point-free map of a tree-like continuum induced by bounded valence maps on trees ⋮ Fixed points in indecomposable 𝑘-junctioned tree-like continua ⋮ A tree-like continuum admitting fixed point free maps with arbitrarily small trajectories ⋮ A hereditarily indecomposable tree-like continuum without the fixed point property ⋮ Fixed points of plane continua ⋮ Fixed Points of Arc-Component-Preserving Maps ⋮ A Weakly Chainable Tree-Like Continuum without the Fixed Point Property ⋮ Mappings of Trees and the Fixed Point Property

Cites Work

• The Elusive Fixed Point Property
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