Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/402

 Title: The Interval [0,1] Admits no Functorial Embedding into a Finite-Dimensional or Metrizable Topological Group Authors: Banakh, TarasZarichnyi, Michael Keywords: Topological GroupFunctorial Embedding Issue Date: 2000 Publisher: Institute of Mathematics and Informatics Citation: Serdica Mathematical Journal, Vol. 26, No 1, (2000), 1p-4p 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. URI: http://hdl.handle.net/10525/402 ISSN: 1310-6600 Appears in Collections: Volume 26 Number 1

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