On an algebraic version of Tamano’s theorem

Raushan Z. Buzyakova

doi:10.4995/agt.2009.1735

Authors

Raushan Z. Buzyakova University of North Carolina Greensboro (UNCG)

DOI:

https://doi.org/10.4995/agt.2009.1735

Keywords:

Topological group, Hausdorff compactification, Normal space, Stationary set

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.

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Author Biography

Raushan Z. Buzyakova, University of North Carolina Greensboro (UNCG)

Mathematics Department

References

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