The Interval [0,1] Admits no Functorial Embedding into a Finite-Dimensional or Metrizable Topological Group

Banakh, Taras, and Zarichnyi, Michael. "The Interval [0,1] Admits no Functorial Embedding into a Finite-Dimensional or Metrizable Topological Group." Serdica Mathematical Journal 26.1 (2000): 1-4. <http://eudml.org/doc/11475>.

@article{Banakh2000,
abstract = {An embedding X ⊂ G of a topological space X into a topological group G is called functorial if every homeomorphism of X extends to a continuous group homomorphism of G. It is shown that the interval [0, 1] admits no functorial embedding into a finite-dimensional or metrizable topological group.},
author = {Banakh, Taras, Zarichnyi, Michael},
journal = {Serdica Mathematical Journal},
keywords = {Topological Group; Functorial Embedding},
language = {eng},
number = {1},
pages = {1-4},
publisher = {Institute of Mathematics and Informatics},
title = {The Interval [0,1] Admits no Functorial Embedding into a Finite-Dimensional or Metrizable Topological Group},
url = {http://eudml.org/doc/11475},
volume = {26},
year = {2000},
}

TY - JOUR
AU - Banakh, Taras
AU - Zarichnyi, Michael
TI - The Interval [0,1] Admits no Functorial Embedding into a Finite-Dimensional or Metrizable Topological Group
JO - Serdica Mathematical Journal
PY - 2000
PB - Institute of Mathematics and Informatics
VL - 26
IS - 1
SP - 1
EP - 4
AB - An embedding X ⊂ G of a topological space X into a topological group G is called functorial if every homeomorphism of X extends to a continuous group homomorphism of G. It is shown that the interval [0, 1] admits no functorial embedding into a finite-dimensional or metrizable topological group.
LA - eng
KW - Topological Group; Functorial Embedding
UR - http://eudml.org/doc/11475
ER -