A Fixed Point Theorem for Weakly Chainable Plane Continua

DOI10.2307/2001463zbMath0689.54021OpenAlexW4251543747MaRDI QIDQ3031610

Piotr Minc

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001463

zbMATH Keywords

acyclic plane continuaindecomposable subcontinuum of the boundaryweakly chainable subcontinuum

Mathematics Subject Classification ID

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

Related Items (10)

Concerning Periodic Points in Mappings of Continua ⋮ Unnamed Item ⋮ A Sternbach-type fixed point problem for maps induced on hyperspaces ⋮ Weak chainability of arc folders ⋮ Pseudo-path connected homogeneous continua ⋮ A hereditarily indecomposable tree-like continuum without the fixed point property ⋮ Fixed points of plane continua ⋮ Fixed Point Theorems for Plane Continua with Applications ⋮ Fixed Points of Arc-Component-Preserving Maps ⋮ A Weakly Chainable Tree-Like Continuum without the Fixed Point Property

Cites Work

• Snake-like continua
• On weakly chainable continua
• Sur un continu acyclique qui se laisse transformer topologiquement en lui même sans points invariants
• A functional conception of snake-like continua
• Characterizations of the Continuous Images of the Pseudo-Arc
• Cones, products and fixed points
• On a class of plane acyclic continua with the fixed point property
• On Fixed Point Properties of Plane Continua
• A fixed point theorem for plane continua
• Another Fixed Point Theorem for Plane Continua
• On some contractible continua without fixed point property
• A Fixed Point Theorem for Pseudo-Arcs and Certain Other Metric Continua
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