On an algebraic version of Tamano’s theorem

Raushan Z. Buzyakova

Abstract

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.

Keywords

Topological group; Hausdorff compactification; Normal space; Stationary set

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References

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1. An algebraic version of Tamano's theorem for countably compact spaces
Raushan Z. Buzyakova
Topology and its Applications  vol: 157  issue: 14  first page: 2289  year: 2010  
doi: 10.1016/j.topol.2010.06.008



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt