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

Banakh, Taras; Zarichnyi, Michael

Serdica Mathematical Journal (2000)

- Volume: 26, Issue: 1, page 1-4
- ISSN: 1310-6600

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topBanakh, 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 -

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