Arc property of Kelley and absolute retracts for hereditarily unicoherent continua

Janusz J. Charatonik, Włodzimierz J. Charatonik, and Janusz R. Prajs. "Arc property of Kelley and absolute retracts for hereditarily unicoherent continua." Colloquium Mathematicae 97.1 (2003): 49-65. <http://eudml.org/doc/284846>.

@article{JanuszJ2003,
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 λ-dendroids, for dendroids) has the arc property of Kelley.},
author = {Janusz J. Charatonik, Włodzimierz J. Charatonik, Janusz R. Prajs},
journal = {Colloquium Mathematicae},
keywords = {arc approximation property; decomposable; dendroid; tree-like; unionable},
language = {eng},
number = {1},
pages = {49-65},
title = {Arc property of Kelley and absolute retracts for hereditarily unicoherent continua},
url = {http://eudml.org/doc/284846},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Janusz J. Charatonik
AU - Włodzimierz J. Charatonik
AU - Janusz R. Prajs
TI - Arc property of Kelley and absolute retracts for hereditarily unicoherent continua
JO - Colloquium Mathematicae
PY - 2003
VL - 97
IS - 1
SP - 49
EP - 65
AB - 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 λ-dendroids, for dendroids) has the arc property of Kelley.
LA - eng
KW - arc approximation property; decomposable; dendroid; tree-like; unionable
UR - http://eudml.org/doc/284846
ER -