Decompositions of cyclic elements of locally connected continua

D. Daniel. "Decompositions of cyclic elements of locally connected continua." Colloquium Mathematicae 119.2 (2010): 321-330. <http://eudml.org/doc/284062>.

@article{D2010,
abstract = {Let X denote a locally connected continuum such that cyclic elements have metrizable $G_\{δ\}$ boundary in X. We study the cyclic elements of X by demonstrating that each such continuum gives rise to an upper semicontinuous decomposition G of X into continua such that X/G is the continuous image of an arc and the cyclic elements of X correspond to the cyclic elements of X/G that are Peano continua.},
author = {D. Daniel},
journal = {Colloquium Mathematicae},
keywords = {cut point; cyclic element; locally connected continuum; decomposition; images of arcs},
language = {eng},
number = {2},
pages = {321-330},
title = {Decompositions of cyclic elements of locally connected continua},
url = {http://eudml.org/doc/284062},
volume = {119},
year = {2010},
}

TY - JOUR
AU - D. Daniel
TI - Decompositions of cyclic elements of locally connected continua
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 2
SP - 321
EP - 330
AB - Let X denote a locally connected continuum such that cyclic elements have metrizable $G_{δ}$ boundary in X. We study the cyclic elements of X by demonstrating that each such continuum gives rise to an upper semicontinuous decomposition G of X into continua such that X/G is the continuous image of an arc and the cyclic elements of X correspond to the cyclic elements of X/G that are Peano continua.
LA - eng
KW - cut point; cyclic element; locally connected continuum; decomposition; images of arcs
UR - http://eudml.org/doc/284062
ER -