Tree-like continua with invariant composants under fixed-point-free homeomorphisms

DOI10.1090/S0002-9939-2012-11727-7zbMath1278.54017OpenAlexW2026585912MaRDI QIDQ2845881

Charles L. Hagopian, Janusz R. Prajs, Marcus Marsh

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11727-7

zbMATH Keywords

fixed pointindecomposabletree-like continuum\(k\)-junctionedcomposant-preserving map

Mathematics Subject Classification ID

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

Related Items (3)

Unnamed Item ⋮ Some fixed point theorems for tree-like continua ⋮ Minimal spaces with cyclic group of homeomorphisms

Cites Work

• A tree-like continuum admitting fixed point free maps with arbitrarily small trajectories
• Fixed points in indecomposable 𝑘-junctioned tree-like continua
• Fixed Points of Arc-Component-Preserving Maps
• A hereditarily indecomposable tree-like continuum without the fixed point property
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