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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.
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 -