On an algebraic version of Tamano’s theorem

Let X be a non-paracompact subspace of a linearly ordered topological space. We prove, in particular, that if a Hausdorff topological group G contains closed copies of X and a Hausdorff compactification bX of X then G is not normal. The theorem also holds in the class of monotonically normal spaces.

Bibliographic Details
Main Author: Raushan Z. Buzyakova
Format: Article
Language:English
Published: Universitat Politècnica de València 2009-10-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1735