6 research outputs found
On an algebraic version of Tamano’s theorem
[EN] 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.Buzyakova, RZ. (2009). On an algebraic version of Tamano’s theorem. Applied General Topology. 10(2):221-225. doi:10.4995/agt.2009.1735.22122510