1Institute of Mathematics University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 2Department of Mathematics Faculty of Science University of Patras 26500 Patras, Greece
Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 149-154
We define a dendrite $E_{\{n\}}$ which is universal
in the
class of all completely regular dendrites with order of points
not greater than $n$. In particular, the dendrite
$E_{\{\omega\}}$ is universal in the class of all completely
regular dendrites.
The construction starts with the standard universal dendrite
$D_{\{n\}}$ of order $n$ described by J. J. Charatonik.
Keywords:
define dendrite which universal class completely regular dendrites order points greater particular dendrite omega universal class completely regular dendrites construction starts standard universal dendrite order described nbsp nbsp charatonik
Affiliations des auteurs :
K. Omiljanowski 
1
;
S. Zafiridou 
2
1
Institute of Mathematics University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
2
Department of Mathematics Faculty of Science University of Patras 26500 Patras, Greece
@article{10_4064_cm103_1_15,
author = {K. Omiljanowski and S. Zafiridou},
title = {Universal completely regular dendrites},
journal = {Colloquium Mathematicum},
pages = {149--154},
year = {2005},
volume = {103},
number = {1},
doi = {10.4064/cm103-1-15},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm103-1-15/}
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TY - JOUR
AU - K. Omiljanowski
AU - S. Zafiridou
TI - Universal completely regular dendrites
JO - Colloquium Mathematicum
PY - 2005
SP - 149
EP - 154
VL - 103
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/cm103-1-15/
DO - 10.4064/cm103-1-15
LA - en
ID - 10_4064_cm103_1_15
ER -
K. Omiljanowski; S. Zafiridou. Universal completely regular dendrites. Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 149-154. doi: 10.4064/cm103-1-15