Universal completely regular dendrites

K. Omiljanowski; S. Zafiridou

Colloquium Mathematicae (2005)

  • Volume: 103, Issue: 1, page 149-154
  • ISSN: 0010-1354

Abstract

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We define a dendrite which is universal in the class of all completely regular dendrites with order of points not greater than n. In particular, the dendrite is universal in the class of all completely regular dendrites. The construction starts with the standard universal dendrite of order n described by J. J. Charatonik.

How to cite

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K. Omiljanowski, and S. Zafiridou. "Universal completely regular dendrites." Colloquium Mathematicae 103.1 (2005): 149-154. <http://eudml.org/doc/286647>.

@article{K2005,
abstract = {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 $E_\{\{ω\}\}$ 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.},
author = {K. Omiljanowski, S. Zafiridou},
journal = {Colloquium Mathematicae},
keywords = {dendrite; completely regular continuum; universal space},
language = {eng},
number = {1},
pages = {149-154},
title = {Universal completely regular dendrites},
url = {http://eudml.org/doc/286647},
volume = {103},
year = {2005},
}

TY - JOUR
AU - K. Omiljanowski
AU - S. Zafiridou
TI - Universal completely regular dendrites
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 1
SP - 149
EP - 154
AB - 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 $E_{{ω}}$ 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.
LA - eng
KW - dendrite; completely regular continuum; universal space
UR - http://eudml.org/doc/286647
ER -

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