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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English translation in J. Math. Sci. (N. Y.) 131 (2005), no. 4, 5765-5838. https://doi.org/10.1007/s10958-005-0445-z

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Universitat Politècnica de València

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