Arc property of Kelley and absolute retracts for hereditarily unicoherent continua
Volume 97 / 2003
Colloquium Mathematicum 97 (2003), 49-65
MSC: Primary 54F15, 54F50; Secondary 54C55.
DOI: 10.4064/cm97-1-6
Abstract
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 $\lambda $-dendroids, for dendroids) has the arc property of Kelley.
