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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H. Tamano, On paracompactness, Pacific J. Math. 10 (1960) 1043–1047. http://dx.doi.org/10.2140/pjm.1960.10.1043

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Universitat Politècnica de València

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