Arc Property of Kelley and Absolute Retracts for Hereditarily Unicoherent Continua
We investigate absolute retracts for hereditarily unicoherent continua, and also the continua that have the arc property of Kelley (i.e., the continua that satisfy both the property of Kelley and the arc approximation property). Among other results we prove that each absolute retract for hereditarily unicoherent continua (for tree-like continua, for x-dendroids, for dendroids) has the arc property of Kelley.
J. J. Charatonik et al., "Arc Property of Kelley and Absolute Retracts for Hereditarily Unicoherent Continua," Colloquium Mathematicum, Polish Academy of Sciences, Jan 2003.
The definitive version is available at https://doi.org/10.4064/cm97-1-6
Mathematics and Statistics
Norman Hackerman Advanced Research Program
Keywords and Phrases
absolute retract; arc approximation property; arc component; arc property of Kelley; continuum; decomposable; dendroid; hereditarily unicoherent; property of Kelley; retraction; tree-like; unionable
Article - Journal
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