Compact Groups of Homeomorphisms on Tree-Like Continua

DOI10.2307/1998674zbMath0486.54028OpenAlexW4249326999MaRDI QIDQ3946787

J. B. Fugate, T. Bruce McLean

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998674

zbMATH Keywords

periodsisometriesperiodic homeomorphismcompact group of homeomorphismsdecomposability or irreducibility conditionsfixed point sets of collections of homeomorphisms on a tree-like continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Transformation groups and semigroups (topological aspects) (54H15) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Compact groups of homeomorphisms (57S10)

Related Items (3)

Inducible Periodic Homeomorphisms of Tree-Like Continua ⋮ On Atriodic Tree-Like Continua ⋮ Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point

Cites Work

• Characterizations of tree-like continua
• Confluent images of tree-like curves are tree-like
• Periodic types of transformations
• The Covering Homotopy Theorem
• Stable Homeomorphisms of the Pseudo-Arc
• Periodic homeomorphisms on T-like continua
• On the hyperspaces of hereditarily indecomposable continua
• Periodic homeomorphisms on chainable continua
• Tree-likeness of dendroids and λ-dendroids
• Monotone decompositions of continua irreducible about a finite subset
• Fixed-Point Theorems for Periodic Transformations
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