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arXiv · 1007.4887

The free product of topological groups being Hausdorff is Hausdorff --- a new proof

G. Samsonadze·D. Zangurashvili
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Abstract

The explicit description of the topology of the free product of topological groups being Hausdorff is given. In particular, it is shown that it coincides with the so-called $X_0$-topology for the corresponding colimit $X$ in the category of topological spaces. Applying this fact, a new short proof of the well-known Graev's theorem asserting that the free product of topological groups being Hausdorff is Hausdorff is given.

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G. Samsonadze, D. Zangurashvili. 2010-07-28. The free product of topological groups being Hausdorff is Hausdorff --- a new proof. https://arxiv.org/abs/1007.4887

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