Fixed Points of Arc-Component-Preserving Maps

DOI10.2307/2000845zbMath0642.54027OpenAlexW4255316749MaRDI QIDQ3784828

Charles L. Hagopian

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000845

zbMATH Keywords

fixed point propertytree-like continuumBorsuk raydog-chases-rabbit principlearc-componentarc- component-preserving mapdeformations of nonseparating plane continuafree chainindecomposable plane continuumuncountably many disjoint triods

Mathematics Subject Classification ID

Continua and generalizations (54F15) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (4)

Unnamed Item ⋮ Fixed points of plane continua ⋮ Tree-like continua with invariant composants under fixed-point-free homeomorphisms ⋮ Mappings of Trees and the Fixed Point Property

Cites Work

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• A Fixed Point Theorem for Inverse Limits of Fans
• Association and fixed points
• Uniquely Arcwise Connected Plane Continua Have the Fixed-Point Property
• Concerning Non-Planar Circle-Like Continua
• On a class of plane acyclic continua with the fixed point property
• On Fixed Point Properties of Plane Continua
• The Elusive Fixed Point Property
• Recent results in the fixed point theory of continuous maps
• A fixed point theorem for plane continua
• Another Fixed Point Theorem for Plane Continua

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