Mappings of Trees and the Fixed Point Property

DOI10.2307/2001307zbMath0676.54050OpenAlexW4229739910MaRDI QIDQ3831710

Marcus Marsh

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001307

zbMATH Keywords

fixed point propertyinverse limitweakly confluent mapstree-like continuumprojection mappingsuniversal mapbonding mappingsweakly confluent surjection

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 (2)

Some fixed point theorems for tree-like continua ⋮ Some generalizations of universal mappings

Cites Work

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• u-mappings on trees
• A fixed-point theorem for inverse limits of simple n-ods
• Fixed-point-free maps on tree-like continua
• A Fixed Point Theorem for Inverse Limits of Fans
• Fixed Points of Arc-Component-Preserving Maps
• Universal mappings and weakly confluent mappings
• Branchpoint Covering Theorems for Confluent and Weakly Confluent Maps
• Coincidence Producing Maps Onto Trees
• The Elusive Fixed Point Property
• A fixed-point theorem for trees

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