Open and Monotone Fixed Point Free Maps on Uniquely Arcwise Connected Continua

DOI10.2307/2045823zbMath0592.54030OpenAlexW4252421285MaRDI QIDQ3721402

L. Mohler, Lex G. Oversteegen

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045823

zbMATH Keywords

fixed point propertyhereditarily decomposable uniquely arcwise connected continualocally one-to-one mappingsmonotone and open fixed point free mappings

Mathematics Subject Classification ID

Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items

Simple spirals on double Warsaw circles ⋮ The fixed-point property for deformations of uniquely arcwise connected continua ⋮ Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point ⋮ Fixed Point Theorems for Arc-Preserving Mappings of Uniquely Arcwise-Connected Continua ⋮ Fixed points of plane continua

Cites Work

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• Fixed-Point Theorems for Arcwise Connected Continua
• The Fixed Point Property for Homeomorphisms of 1-Arcwise Connected Continua
• Uniquely Arcwise Connected Plane Continua Have the Fixed-Point Property